Question

How do you solve `(x – 2) ² = 4(4 – x)`?

Answer 1

`x=-2sqrt3` or `x=2sqrt3`

Explanation:

Simplifying `(x-2)^2=4(4-x)`, we get

`x^2-4x+4=16-4x` or

`x^2-4x+4x+4-16=0` or

`x^2-12=0` or

`(x+sqrt12)(x-sqrt12)=0` or

`x=-sqrt12=-2sqrt3` or `x=2sqrt3`