Solve by Factoring (-9x+5)^(1/2)=(3+4x)^(1/2)

${(- 9 x + 5)}^{\frac{1}{2}} = {(3 + 4 x)}^{\frac{1}{2}}$

Step 1

Subtract ${(3 + 4 x)}^{\frac{1}{2}}$ from both sides of the equation.

${(- 9 x + 5)}^{\frac{1}{2}} - {(3 + 4 x)}^{\frac{1}{2}} = 0$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x \approx 0.15384615$

Step 3