Question

solve for x.

Answer 1

\(\huge ? \)

Answer 2

\[\sqrt{x^2 +8x}=4\sqrt{3}\]

Answer 3

sorry i cant copy paste that

Answer 4

square both sides, get x^2 + 8x = 48 which is x^2 + 8x - 48 factor that u get (x+12)(x-4)

Answer 5

since (x+12)(x-4) = 0, x = -12 or 4

Answer 6

ohh ok and i get -12 and 4 right

Answer 7

\(\bf \sqrt{x^2+8x}=4\sqrt{3}\quad \textit{square both sides again}\\ \quad \\
(\sqrt{x^2+8x})^2=(4\sqrt{3})^2\implies \sqrt{(x^2+8x)^2}=4^2\sqrt{3^2}\\ \quad \\\implies x^2+8x=4^2\cdot 3\\ \quad \\
x^2+8x=48\implies x^2+8x-48=0\)

Answer 8

yes

Answer 9

ahh ok thanks

Answer 10

my pleasure :P