Question

Solve the following quadratic equation for all values of xx in simplest form.
4(x-2)^2=16

Answer 1

`x=4,\:x=0`

Explanation:

`\mathrm{Divide\:both\:sides\:by\:}4`

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

`\mathrm{Simplify}`

`(x-2)^(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`

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