How do you solve 5(x-1)^2=50?

1 Answer
Jim G.
Jul 4, 2017

x=1+-sqrt10

Explanation:

"divide both sides of the equation by 5"

5/5(x-1)^2=50/5

rArr(x-1)^2=10

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

sqrt((x-1)^2)=+-sqrt10larr" note plus or minus"

rArrx-1=+-sqrt10

"add 1 to both sides"

xcancel(-1)cancel(+1)=1+-sqrt10

rArrx=1+-sqrt10

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