Solve by Factoring (45-3x)^(1/2)=x-9

${(45 - 3 x)}^{\frac{1}{2}} = x - 9$

Step 1

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

Subtract $x$ from both sides of the equation.

${(45 - 3 x)}^{\frac{1}{2}} - x = - 9$

Add $9$ to both sides of the equation.

${(45 - 3 x)}^{\frac{1}{2}} - x + 9 = 0$

Step 2

Reorder terms.

$- x + {(45 - 3 x)}^{\frac{1}{2}} + 9 = 0$

Step 3

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

$x \approx 12$

Step 4