How do you solve 7(x-4)^2-2=547(x4)22=54 using any method?

2 Answers
May 2, 2017

x=4+-2sqrt2x=4±22

Explanation:

color(blue)"Isolate " (x-4)^2" on the left side"Isolate (x4)2 on the left side

"add 2 to each side"add 2 to each side

7(x-4)^2cancel(-2)cancel(+2)=54+2

rArr7(x-4)^2=56

"divide both sides by 7"

(cancel(7)(x-4)^2)/cancel(7)=56/7

rArr(x-4)^2=8

color(blue)"take the square root of both sides"

sqrt((x-4)^2)=+-sqrt8rarr(sqrt8=sqrt(4xx2))

rArrx-4=+-2sqrt2

rArrx=4+-2sqrt2

May 2, 2017

x=4+-2sqrt2

Explanation:

7(x-4)^2=56
(x-4)^2=8
x-4=+-2sqrt2
x=4+-2sqrt2