Question

Solve the following quadratic equation for all values of x in simplest form.

4(x-2)^2=16

Answer 1

`x=4,\:x=0`

Explanation:

`(4\left(x-2\right)^2)/(4)=(16)/(4)`

`\left(x-2\right)^2=4`

`\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=√(f\left(a\right)),\:\:-√(f\left(a\right))`

`x=4,\:x=0`