Question

sqrt9x+81 = x+5

Answer 1

square both side

Answer 2

\[\sqrt{9x+81} =x+5\]

Answer 3

square both side
9x+81=(x+5)^2

Answer 4

do i square each individual one?

Answer 5

x=-8 or x=7

Answer 6

9x+81= x^2 + 10x +25

Answer 7

x^2+x-56=0

(x+8)(x-7)=0

x=-8,7

now plug in those number into original equation to see if it works out

Answer 8

sqrt9x+81 = x+5
by squaring both sides 9x+81=x^2+10x+25
9x-10x+81-25=x^2
-x+56=x^2 x^2+x-56=0
x^2+8x-7x-56=0
x(x+8)-7(x+8)=0
(x+8)(x-7)=0
x+8=0 or x-7=0
x=-8 or x=7