Solve by Factoring x=5+(3x-11)^(1/2)

$x = 5 + {(3 x - 11)}^{\frac{1}{2}}$

Step 1

Move all the expressions to the left side of the equation.

Subtract $5$ from both sides of the equation.

$x - 5 = {(3 x - 11)}^{\frac{1}{2}}$

Subtract ${(3 x - 11)}^{\frac{1}{2}}$ from both sides of the equation.

$x - 5 - {(3 x - 11)}^{\frac{1}{2}} = 0$

Step 2

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

$x = 9$

Step 3