Question

How do you solve `(x - 2) ^ { 2} + 95= ( x - 3) ^ { 2}`?

Answer 1

`x=color(red)(-45)`

Explanation:

Given
`color(white)("XXX")(x-2)^2+95=(x-3)^2`

Expanding
`color(white)("XXX")cancel(x^2)-4x+4+95=cancel(x^2)-6x+9`

`color(white)("XXX")2x=-90`

`color(white)("XXX")x=-45`