How do you solve 7(x-4)^2-2=547(x−4)2−2=54 using any method?
2 Answers
May 2, 2017
Explanation:
color(blue)"Isolate " (x-4)^2" on the left side"Isolate (x−4)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
Explanation: