Question

Solve two times square root of the quantity x+8 = three times the square root of the quantity x-2

Answer 1

In mathematical terms:
2sqrt(x+8) = 3sqrt(x-2)

By squaring both sides:
(2)^2 [sqrt(x+8)]^2 = (3)^2 [sqrt(x-2)]^2
4 (x+8) = 9 (x-2)
4x + 32 = 9x - 18
32 + 18 = 9x - 4x
x = ?

Answer 2

thanks so much! @dauspex