Solve the following quadratic equation.
(1 - 18)2 = 1
OA
x = 19 and x = 17
OB.
x= -19 and x = .17
OC. x= -19 and x = 17
D.
x = 19 and x=-17

Answers

Answer 1

Given:

Consider the given equation is

[tex](x-18)^2=1[/tex]

To find:

The values of x.

Solution:

We have,

[tex](x-18)^2=1[/tex]

Taking square root on both sides, we get

[tex]x-18=\pm\sqrt{1}[/tex]

[tex]x-18=\pm 1[/tex]

Adding 18 on both sides, we get

[tex]x-18+18=\pm 1+18[/tex]

[tex]x=\pm 1+18[/tex]

Now,

[tex]x=1+18[/tex] and [tex]x=-1+18[/tex]

[tex]x=19[/tex] and [tex]x=17[/tex]

Therefore, the correct option is A.


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Answers

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