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"#