Question

how do you solve
2(x-3)^2=16

Answer 1

PEMDAS

Answer 2

2(x-3)(x-3)=16 divide by two,both sides, FOIL, then continue

Answer 3

x=5

Answer 4

you could also use a calculator graph y=16 then y=2(x-3)^2 and find the intersection

Answer 5

\[2(x-3)^2= 16 \Rightarrow (x-3)^2 = 8 \Rightarrow x-3 = \pm \sqrt{8} \Rightarrow x = 3\pm \sqrt{8}\]