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

Question

asked May 28, 2022 169k views

1 Answer

Jilles · Answer 1 · 2022-05-31T20:49:39+0000

Given:

Consider the given equation is

(x-18)^2=1

To find:

The values of x.

Solution:

We have,

(x-18)^2=1

Taking square root on both sides, we get

$x-18=\pm√(1)$

$x-18=\pm 1$

Adding 18 on both sides, we get

$x-18+18=\pm 1+18$

$x=\pm 1+18$

Now,

x=1+18 and
x=-1+18

x=19 and
x=17

Therefore, the correct option is A.