Mathematics College

2x^2+2=3x complete the square i need full explaination ASAP

Answers

Answer 1

Answer:

x = 3/4 + √7i/4

x = 3/4 - √7i/4

Step-by-step explanation:

2x² + 2 = 3x

Subtract 3x from both sides so it equals 0:

2x² - 3x + 2 = 0

Divide both sides by 2:

x² - 3/2x + 1 = 0

Subtract 1 from both sides:

x² - 3/2x = -1

Take -3/2 and multiply it by 1/2 then square it:

(-3/2 • 1/2)²

9/16

Add this to both sides:

x² - 3/2x + 9/16 = -1 + 9/16

Rewrite the perfect square on the left and add the terms on the right:

(x - 3/4)² = -7/16

Square root both sides to get rid of the square:

x - 3/4 = ± √-7/16

Simplify the radical:

x - 3/4 = ± √7i/4

Add 3/4 to both sides:

x = 3/4 ± √7i/4

Your two solutions are:

x = 3/4 + √7i/4

x = 3/4 - √7i/4

You can also convert to decimal if you need to (but I don’t recommend it):

x = 0.75 + 0.661438i

x = 0.75 - 0.661438i

Hope this helps!

Related Questions

Which statement best explains whether △ABC is congruent to △DEF?

△ABC is congruent to △DEF because △ABC can be mapped to △DEF by a reflection across the y-axis followed by a translation 5 units down.

△ABC is congruent to △DEF because △ABC can be mapped to △DEF by a rotation of 90° counterclockwise about the origin followed by a reflection across the y-axis.

△ABC is congruent to △DEF because △ABC can be mapped to △DEF by a translation 5 units down followed by a reflection across the x-axis.

△ABC is not congruent to △DEF because there is no sequence of rigid motions that maps △ABC to △DEF.

Answers

Answer: △ABC is congruent to △DEF because △ABC can be mapped to △DEF by a translation 5 units down followed by a reflection across the x-axis.

Step-by-step explanation: By moving the shape down 5 units, you are met with DEF. You then mirror it (reflect) across the y axis.

5(3 - x) < -2x + 6 please solve for me <3

Answers

what grade are you learning this in

Answer:

Step-by-step explanation:

−5x+15<−2x+6

Step 2: Add 2x to both sides.

−5x+15+2x<−2x+6+2x

−3x+15<6

Step 3: Subtract 15 from both sides.

−3x+15−15<6−15

−3x<−9

Step 4: Divide both sides by -3.

−3x

−3

−9

−3

xx f(x)f(x)f, left parenthesis, x, right parenthesis
-5−5minus, 5 -2−2minus, 2
-4−4minus, 4 222
-3−3minus, 3 000
-2−2minus, 2 111
-1−1minus, 1 000
000 333
111 -7−7minus, 7
222 -8−8minus, 8
333 -3−3minus, 3
444 111
555 444
What is the average rate of change of fff over the interval -4\leq x\leq 5−4≤x≤5minus, 4, is less than or equal to, x, is less than or equal to, 5?
Give an exact number.

Answers

Answer:

Step-by-step explanation:

khan

Which of the following is a key property of the linear parent function? It is in quadrats | and |||.

Answers

Answer:

bro i need a picture

Step-by-step explanation:

i will solve if u give me brainliest.

When multiplying the factors 2/3 and 4/7 what is the product of the denominators

Answers

Answer:

Step-by-step explanation:

When multipling fractions you go straight across so, all you have to do in the furture is multiply the demonators, anyways all i had to was 3x7 which is 21. Hope this helps and have a wonderful day!

Answer:

Step-by-step explanation:

2/3+4/7= 8/21

the top number is the numerator and the bottom number is the denominator.

400 reduced by twice my age is 68 how old am i

Answers

hope it helps.........

Please help me and put it in your own words and only answer this question if you know how to do this thank you.

Answers

Answer:

20.75(8)+0.42(15)

Step-by-step explanation:

I did 0.42 because that is the cost per one pansy. While she is getting 8 trees so you multiply the cost of one tree by the number of trees total to get the total cost for all of the trees together. Then 0.42*15 is the total amount of money she will spend on pansies. Once she knows how much she will spend on pansies then she can by the six packs but if she was to buy 2 six packs she would still need to get half a pack of pansies to get 15 because 15 does not go into 6 evenly.

How do you describe a quadratic equation?

Answers

Answer:

an equation of the second degree, meaning it contains at least one term that is squared.

Step-by-step explanation:

A quadratic equation contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable.

HURRY whats the rate of change

Answers

Answer:

G. -9/2 o -4.5

Step-by-step explanation:

Answer:

G. -9/2

Step-by-step explanation:

this is the rate of change

What is the climate like in summer of the Middle Atlantic states?
cool
temperate
hot
cold

Answers

Answer:

The passage says "Summers are hot and winters are cold in the Middle Atlantic states." so the answer is hot

please help me lol aaaaa

Answers

Answer:

−0.125 or - 1/8

Step-by-step explanation:

calculate doudle of 15.5
show the workout

Answers

15.5*2= 31 double is two times

15.5 x 2 (double) = 31
Or 15.5+15.5 = 31 It’s double the same number...

what is 32221 x444444444444

Answers

Answer: 1.43

Step-by-step explanation:

Answer:

1.432044444444301e+17

Step-by-step explanation:

a cruise ship sailed for 9 hours at a speed of 18 miles per hour how far did a cruise ship sell

Answers

Answer:

162 miles

Step-by-step explanation:

Step 1:

9 : 18 Rate

Step 2:

9 × 18 Equation

Answer:

162 miles Multiply

Hope This Helps :)

pleas help ill give extra points and brainlyest

Answers

Answer:

its B

Step-by-step explanation:

The answer is:
B. $27,500

Two divers are swimming at different depths below sea level. One diver is at -25.5 ft. The other diver is at -40.75 ft. How far are the divers from each other?

Answers

Answer:

66.25 ft

Step-by-step explanation:

25.5 + 40.75

66.25

They are 66.25 feet away from each other.

Please let me know if I'm wrong!

Select three ratios that are equivalent to 11:1.
Choose 3 answers:
1:11
22:2
55:5
9:99

Answers

Answer:

22:2, 55:5, 1:11

Step-by-step explanation:

Answer:

22:2 55:5 and no others

Step-by-step explanation:

What is the measure of angle F?
E. 20
D. 90
F.?

Answers

Answer:

the answer would be 70 because you take 90-20 and you get 70. you have a 90 degree angle is what you're working on right now

Step-by-step explanation:

i need help with this please

Answers

Answer:

y = - 1 and x = 8

Step-by-step explanation:

The equation of a horizontal line parallel to the x- axis is

y = c

where c is the value of the y- coordinates the lune passes through.

The line passes through (8, - 1) with y- coordinate - 1, thus

y = - 1 ← equation of horizontal line.

--------------------------------------------------------------------

The equation of a vertical line parallel to the y- axis is

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (8, - 1) with x- coordinate 8 , thus

x = 8 ← equation of vertical line

what is the rate of change for the liner relationship modeled in the table?

Answers

i'm sorry wheres the picture?

Show me the picture I would love to help <3

Keiko is going for a walk.she takes 3 hours to walk 7.5 miles.what is her speed

Answers

Answer:

2.5 mph

Step-by-step explanation:

Sally buys a shirt of 5.00. New York's sales tax is 8.200. What is the final price?

Show your work and explain or I report and delete answer.

Answers

Answer: $5.40

Sales tax is a price you add to every 100 cents purchased.

Sally purchased a shirt of 5.00, and New York's sales tax is 8.200.

So, we multiply 8 by 5. We get the number 40, right?

You now add 0.40 to 5.00.

The answer totals at 5.40 because 5.00 + 0.40 = 5.40.

Hope this helps you out!

A
2) A data set shows the number of minutes
each of 153,477 students takes to
complete a reading test. The median
completion time is 110 minutes. The
interquartile range is 34. Which statement
about the completion times is most likely
to be true?
A. Of these students, 25% complete the test in 110 minutes or less.
B. Of these students, 50% complete the test in 110 minutes or less.
c. Of these students, 75% complete the test in 127 minutes or less
O D.Of these students, 75% complete the test in 144 minutes or less.

Answers

Answer: it's b.

Step-by-step explanation:

How do you do this question?

Answers

Answer:

bn = 1 / n

Step-by-step explanation:

We want to show the series an diverges. So we need to find a smaller function bn that diverges. That means we can eliminate options C and D, both of which converge.

an = (3 + sin(n) + e⁻ⁿ) / (2n − 1)

Sine is between -1 and +1, and e⁻ⁿ approaches 0 as n approaches infinity. So the numerator is a minimum of 2 as n approaches infinity. So we can make a new function:

an = 2 / (2n − 1)

Let's look at option B: bn = 4 / √n = 2 / (½√n).

½√n is less than 2n − 1, so bn is greater than an. We can't use that to show that an diverges.

Now let's look at option A: bn = 1 / n = 2 / (2n).

2n is greater than 2n − 1, so bn is less than an. Since bn diverges, an must also diverge.

There are 800 rooms on the Voyager cruise ship, and 60% of them have a balcony. How many of the rooms have a balcony?

Answers

Answer:

480

Step-by-step explanation:

HELP PLSSSSS AAAAAAAAAAAAAAAAAAAAAA ILL GIVE BRAINLIEST B(

Answers

Answer:

a(n) = (3/5)a(n-1), where a(1) = 10 and n is 2 or greater.

Step-by-step explanation:

determine the common factor...The first term (10) by 3/5 results in the given second term (6); the third term is 3/5 of the second term (6), resulting in 18/5 (equivalent to 36/10 or 3.6/1, or just 3.6. Resulting in a(n) = (3/5)a(n-1).

the third term is 3.6, which, if mult. by (3/5), produces 2.16, as expected.

Thus, the recursive formula for this geometric sequence is a(n) = (3/5)a(n-1).

This is good only for a(1) = 10 and n = 2, 3, ....

Hope this helps you

Answer: