How do you solve 4(x-1)^2-3=25?
1 Answer
Aug 27, 2017
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