Question

Solve (x – 3)2 = 49. Select the values of x.

=
-46
-4
10
52

Answer -4 and 10
B&C

Answer 1

x = -4, 10

Explanation:

We take the square root and use the fact of "plus-minus" and find two values of x. The process of solving this equation is shown below:

`(x-3)^2=49`

`√((x-3)^2) =√(49)`

`x-3=+-7`

`x=3+7=10`

`x=3-7=-4`

Hence the two values of x are -4 and 10

Note: both (-7)^2 and (7)^2 are 49 . So we took "plus-minus" values of
`√(49)`