# solve for x

• October 12th 2008, 07:49 PM
algebra2
solve for x
• October 12th 2008, 08:13 PM
Jhevon
Quote:

Originally Posted by algebra2

first, cross-multiply and divide both sides by -2, you get,

$x \sqrt{x} = 1$

now, can you continue?
• October 12th 2008, 08:19 PM
jkru
First, we multiply both sides by 2x to isolate the sqrt(x). We are then left with:

-1/sqrt(x) = -x

We can also multiply by (-1) to cancel out the negative on both sides. We can then square both sides to get:

1/x = x^2

Multiplying both sides by x yields:

1 = x^3

So, x = 1. You can check the solution to verify that x = 1 solves the equation.