Question

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

Answer 1

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.