1. ## Precalc

Solve for x:
(15x+4)^1/2=4-(2x+3)^1/2

Thank you!

2. Originally Posted by ss103
Solve for x:
(15x+4)^1/2=4-(2x+3)^1/2

Thank you!
start by squaring both sides

$15x + 4 = 16 - 8 \sqrt{2x + 3} + 2x + 3$

so we have $13x - 15 = 8 \sqrt{2x + 3}$

now what?

3. how did you get the second half of the equation?
(on the other side of the equal sign)

4. Originally Posted by ss103
how did you get the second half of the equation?
(on the other side of the equal sign)
I was off by a sign. it should be $15 - 13x = 8 \sqrt{2x + 3}$

all i did was solve the equation for $8 \sqrt{2x + 3}$ by moving everything else over the equal sign