Question

Solve for x: 4/x - x/8 = 0

Answer 1

Answer:

$x = \sqrt{32}$

Step-by-step explanation:

$\frac{4}{x} - \frac{x}{8} = 0\\\\\frac{4}{x} = \frac{x}{8}\\\\x^2 = 32\\\\x = \sqrt{32}$

Answer 2

4/x - x/8 = 0
(32 - x^2)/8x = 0 (change into a single fraction)
32 - x^2 = 0
- x^2 = - 32
x^2 = 32
x = sqrt(32)
x = 4 sqrt(2)
x ≈ 5.66