WILL GIVE BRAINLIEST
Hannah and Han are each trying to solve the equation x² – 8x + 26 = 0. They know that
x = -1 are i& - i, but they are not sure how to use this information to solve for x in their
equation.
Part 1- Here is Hannah's work:
x? - 8x + 26 = 0
X? – 8x = -26
Show Hannah how
to finish her work using completing the square and complex numbers.
Part 2- Han decides to solve the equation using the quadratic
formula. Here is the beginning of his
work
-b+V62-4ac
-(-8)+7-8)2–401|(26)
Finish using the quadratic formula. Simplify the final answer as much as possible.

WILL GIVE BRAINLIESTHannah And Han Are Each Trying To Solve The Equation X 8x + 26 = 0. They Know Thatx

Answers

Answer 1

Part one:

[tex]x^2-8x=-26[/tex]

Rewrite in the form [tex](x+a)^{2} =b[/tex]

[tex]\left(x-4\right)^2=-10[/tex]

[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]

Solve [tex]x-4=\sqrt{-10} : x=\sqrt{10} i+4[/tex]

Solve [tex]x-4=\sqrt{-10} : x=-\sqrt{10} i+4[/tex]

[tex]x=\sqrt{10}i+4,\:x=-\sqrt{10}i+4[/tex]

Part two:

[tex]x=\frac{-\left(-8\right)\pm \sqrt{\left(-8\right)^2-4\cdot \:1\cdot \:26}}{2\cdot \:1}[/tex]

Simplify [tex]\sqrt{\left(-8\right)^2-4\cdot \:1\cdot \:26}}: 2\sqrt{10} i[/tex]

[tex]=\frac{-\left(-8\right)\pm \:2\sqrt{10}i}{2\cdot \:1}[/tex]

Separate solutions

[tex]x_1=\frac{-\left(-8\right)+2\sqrt{10}i}{2\cdot \:1},\:x_2=\frac{-\left(-8\right)-2\sqrt{10}i}{2\cdot \:1}[/tex]

[tex]\frac{-(-8)+2\sqrt{10}i }{2*1} :4+\sqrt{10}i[/tex]

[tex]\frac{-(-8)+2\sqrt{10}i }{2*1} :4-\sqrt{10}i[/tex]

[tex]x=4+\sqrt{10}i,\:x=4-\sqrt{10}i[/tex]

Answer 2

The solutions are:-

[tex]x=4+\sqrt{10i}\\\\x=4-\sqrt{10i}[/tex]

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given equation is

[tex]x^2- 8x + 26 = 0\\\\x^2-8x=-26\\\\(x-4)^2=-10\\\\[/tex]

[tex](x-4)=[/tex]±[tex]\sqrt{-10}[/tex]

[tex]x=\sqrt{10}i+4\\\\x=-\sqrt{10}i+4[/tex]

So,

[tex]x=\frac{-b+-\sqrt{b^2-4ac}}{2a}\\\\x=\frac{8+-\sqrt{(-8)^2-4(1)(26)}}{2(1)}\\\\x=\frac{8+-\sqrt{(-8)^2-4(1)(26)}}{2(1)}\\\\x=\frac{8+-\sqrt{64-104}}{2}\\\\x=\frac{8+-2\sqrt{10i}}{2}\\\\x=\frac{2(4+-\sqrt{10i})}{2}\\\\x=4+\sqrt{10i}\\\\x=4-\sqrt{10i}[/tex]

Hence, the solutions are:-

[tex]x=4+\sqrt{10i}\\\\x=4-\sqrt{10i}[/tex]

To know more about the equation

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Related Questions

log (sqrt(xy))/z is equal to

a) 1/2 logx + 1/2 logy - logz
b) 1/2 logx + logy - logz
c) 1/2 (logx + logy - logz)
d) 1/2 log xy/ logz

Answers

Answer:

A) [tex]\frac{1}{2}log(x)+\frac{1}{2}log( y)-log(z)[/tex]

Step-by-step explanation:

[tex]log\frac{\sqrt{xy}}{z}[/tex]

[tex]log\sqrt{xy}-log(z)[/tex]

[tex]log(xy)^\frac{1}{2}-log(z)[/tex]

[tex]\frac{1}{2}log(xy)-log(z)[/tex]

[tex]\frac{1}{2}(log(x)+log(y))-log(z)[/tex]

[tex]\frac{1}{2}log(x)+\frac{1}{2}log( y)-log(z)[/tex]

Therefore, A is correct

in what ratio we increase 900 to get 1200​​

Answers

Answer:

4:3

Step-by-step explanation:

Let's say that the number we multiply to get to 1200 from 900 is x.

900x=1200

Now, we divide both sides by 900:

x=1200/900

x=4/3

The number is 4/3. In ratio form, this is 4:3

Answer:

3 : 4

Step-by-step explanation:

      900  : 1200

= 30 x 30 : 30 x 40

=         30 : 40

=    3 x 10 : 4 x 10

=           3 : 4

Which expression represents this word phrase? eight less than the quotient of x and 3

A: х/3 - 8

B: X - 8/3

C: 3x - 8

D: 8 - x/3​

Answers

Answer:

Step-by-step explanation:8 less means you will be subtract 8 from another number. The quotient of x and 3 is gotten by dividing x by 3 or x/3.

Select the correct answer.
Convert (6,150°) to rectangular form.

Answers

Answer:

A

Step-by-step explanation:

basta letter A sagot dyan

Find the volume of the composite figure

Answers

Answer:

540m^3

Step-by-step explanation:

find volume of top + volume of bottom

bottom: l*w*h = 16*5*4 =300 m^3

top = area of side times width = area of triangle times width

area of triangle is 1/2*b*h = (6*16)/2 = 48 m^2

multiply by width = 48*5=240m^3

add top and bottom = 300+240=540m^3

solve for x, show work please!! 20 points.

Answers

Option B: (10)

Step-by-step explanation:

Here,

13x - 5 = 11x + 15. [Since corresponding angles are similar in parallel lines]

=> 13x - 11x = 15 + 5

=> 2x = 20

[tex] = > x = \frac{20}{2} [/tex]

=> x = 10 (Ans)

The answer would be B

please help giving brainly and points :)​

Answers

Answer:

A)-4,-5

B)4,5

Step-by-step explanation:

Using the quadratic formula to solve x = 5-x, what are the values of x?

Answers

The answer is the first one A

what would be the best first step in solving this system?​

Answers

Answer:

B. substitute for X in first equation

A number is multiplied by 2, and then 5 is subtracted. The result is 43.

Answers

Answer: The answer is 7.

Which equation has the same solution as x2 + 16x + 13 = 0?

Answers

(x+4)^2=21

Hope this helps ;)

Kira looked though online census information to determine the average number of people living in the homes in her city

Answers

First we need to identify if the data is qualitative or quantitative.

The data is average number of people living in the homes.

Qualitative data as its name indicates is an attribute or characteristic. It can not be measured e.g color. Quantitative data is such a data which can be counted or measured.

Since the average number of people can be counted and measured, the data is Quantitative.

In an observational study the individuals are observed. In the given case, Kira did not observed the individuals to gather the data, rather she used an Online resource to gather the data.

Therefore, the correct answer will be:

Kira used published data that is quantitative.

Source: i found it in another brainly question which was the same as your question and was expert verified so i hope this helped

Question 1
Which of the following numbers is greater than 6 and less than 8?
60
O 780
70

Answers

Answer:

The number which is more than 6 and less than 8 is 7.

Step-by-step explanation:

There are the natural numbers.

To find the number which is more than 6 but less than 8.

The numbers which are more than 6 are 7, 8, 9, 10, ....

The numbers which are less than 8 are ...,3, 4, 5, 6, 7

So, the number which is more than 6 and less than 8 is 7.

-0,05.[tex]\sqrt{28800}[/tex]

Answers

Answer:

-8.4855

Step-by-step explanation:

[tex]-0,05 \ \cdot \ \sqrt{28800}\\\\ = -0.05 \ \cdot \ 169.71\\\\= -8.4855[/tex]

The answer is -8.4555

The valuesStartRoot 10 EndRoot and StartRoot 15 EndRoot are plotted on the number line.

Answers

I believe the answer is 15 but trying to pass

find the area of a semicircle whose radius is 2.4 cm

Answers

Answer:

[tex] 9.0432 \: {cm}^{2} [/tex]

Step-by-step explanation:

Area of semicircle

[tex] = \frac{1}{2} \pi \: {r}^{2} \\ \\ = \frac{1}{2} \times 3.14 \times {(2.4)}^{2} \\ \\ = \frac{1}{2} \times 3.14 \times 5.76 \\ \\ = \frac{1}{2} \times 18.0864 \\ \\ = 9.0432 \: {cm}^{2} [/tex]

Answer:

Area of semi circle = 9.05 square cm

Step-by-step explanation:

[tex]Area \ of \ circle = \pi r^2\\\\Area \ of \ semi - circle = \frac{1}{2} \pi r^2 = \frac{1}{2} \pi (2.4)^2 = 9.047 = 9.05 \ cm^2[/tex]

Please help me I really need help

Answers

771.05 m³ is tge answer brudah !!

V = pi x 4^2 x 14 + 1/3 x pi x 4^2 x 6
= 703.72 + 100.53
= 804.2 m^3 (4sf)

help help help help help​

Answers

Step-by-step explanation:

press the picture to see the answer I swear it has a solution too

What is the slope of the line represented by the equation y = -2/3 - 5x

Answers

Answer:

-5

Step-by-step explanation:

equation of a line is y=m*x+b

m is the slope of that line

so for y= -5x -2/3 m would be -5

Answer:

The slope intercept form of a line takes the Form

y= mx + c

where M is the gradient and as you can see... Its the coefficient of "x"

From the equation given

y= -2/3 - 5x

The Slope(gradient) is -5.

OPTION A IS CORRECT

Can units subtract themselves in mathematics? Example is cm²-cm =cm? / m³-m =m²?​

Answers

Answer:

No, they cannot be added or subtracted.

Step-by-step explanation:

According to the homogenity of units and dimensions, the quantities of the same units and dimensions are added or subtracted only.

So, the quantities of different units and dimensions can not be added or sutracted.

So,

[tex]cm^2 - cm = notdetremined[/tex]

a. a perpendicular to z
b. a ll b
c. x ll z
d. x perpendicular to a

Answers

D) x is perpendicular to a

The box plots show the basketball scores for two teams.

Answers

It’s c trust me I’m a goat at basketball

Answer:

C

Step-by-step explanation: A.P.E.X

Car price $118,191
Percent for car loan: 2.49%
36 months

Find monthly payment show work

Answers

Answer:

3410.64

Step-by-step explanation:

Gonna assume that the 2.49 is the APR

present value of the loan= present value of the payments

effective rate: .0249/12= .002075

x= payment

[tex]118191=x\frac{1-(1+.002075)^{-36}}{.002075}\\118191=34.6536494355x\\x=3410.63645317[/tex]

Use the formula A=bhto find the area of the parallelogram.
2.1 m
6.3 m

Answers

Answer:

A = 13.23 m²

Step-by-step explanation:

A = bh

Where,

A = area of the parallelogram

b = base of the parallelogram

h = height of the parallelogram

From the question, assume

b = 2.1 m

h = 6.3 m

A = bh

= 2.1 m × 6.3 m

= 13.23 m²

A = 13.23 m²

-5,2 translated 2 two units left and one unit up

Answers

Answer:

(-7, 3)

Step-by-step explanation:

You already said the point of C is (-5, 2)

Now all we simply do is change the values of each X and Y value respectively.

When moving to the left, the value is subtracted for X.

When moving up the value is added to Y.

-5-2 = -7

2+1 = 3

Answer:

It is going to be -7;3 as I can see on the picture you sent the answer is the first option.

What is 3/5 divided by -1/5

Answers

Answer:

-0.12

Step-by-step explanation:

(3/5) / (-1/5) = -0.12

-0.12 i think............

Find the x-intercept of the rational function.

Answer choices:

A.) (0,-2)
B.) (-2,0)
C.) (0,5)
D.) (5,0)

Answers

U can see graph below the x intercepts on (0,-2)

So think the answer should be :
A) (0,-2)

3^8 times 3^2, using properties of exponents

Answers

Answer:

[tex]3^{10}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

[tex]3^{8}[/tex] × 3² = [tex]3^{(8+2)}[/tex] = [tex]3^{10}[/tex]

At a grocery​ store, you want to buy lb of 2 1/2cheese What decimal should the digital scale​ show

Answers

Answer:

The tenths place.

Step-by-step explanation:

If you want to buy 2 1/2 lb of cheese, you want to buy 2.5lbs. The tenths place is the first place after the decimal, and the place the scale needs to show to show you 2.5lbs.

Answer:

tenths place

Step-by-step explanation:


Find the equation of a line with a slope of -9, passing through the point (1, -3). Enter
this equation in slope/y-intercept form in the blank

Answers

Answer:

y=-9x+6

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=-9(x-1)

y+3=-9(x-1)

y=-9x+9-3

y=-9x+6

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