How do I solve for x in √(x+8)=12/√(x+8)+1?

1 Answer
Mar 30, 2018

x = 8

Explanation:

sqrt(x+8)=12/sqrt(x+8)+1

Let sqrt(x+8) = a
a =12/a+1
a^2 - a - 12 = 0
(a + 3)(a - 4) = 0
a = -3, a = 4

sqrt(x+8) = a
sqrt(x+8) = -3: no solution over the real numbers.

sqrt(x+8) = 4
x + 8 = 16
x = 8