How do you solve 4(x-1)^2-3=25?

1 Answer
Aug 27, 2017

x=1+-sqrt7

Explanation:

"isolate "(x-1)^2" on the left side"

"add 3 to both sides"

4(x-1)^2cancel(-3)cancel(+3)=25+3

rArr4(x-1)^2=28

"divide both sides by 4"

cancel(4)/cancel(4)(x-1)^2=28/4

rArr(x-1)^2=7

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

sqrt((x-1)^2)=+-sqrt7larr" note plus or minus"

rArrx-1=+-sqrt7

"add 1 to both sides"

xcancel(-1)cancel(+1)=+-sqrt7+1

rArrx=1+-sqrt7