How do you solve the equation 2(x+2)^2=72?
4 Answers
Explanation:
Explanation:
divide by
square root:
subtract
Explanation:
First divide both sides by two to get
Explanation:
Divide both sides by 2
rArr2/2(x+2)^2=72/2
rArr(x+2)^2=36 Take the
color(blue)"square root of both sides"
sqrt((x+2)^2)=color(red)(+-)sqrt36
rArrx+2=color(red)(+-)6
• x+2=color(red)(6) subtract 2 from both sides.
xcancel(+2)cancel(-2)=6-2
rArrx=4
• x+2=color(red)(-6)
rArrx=-8
color(blue)"as a check" Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
x=4to2(4+2)^2=2xx36=72to" true"
x=-8to2(-8+2)^2=2xx36=72to" true"
rArrx=-8" or " x=4" are the solutions"