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

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

Step 1

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

Subtract $x$ from both sides of the equation.

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

Subtract $1$ from both sides of the equation.

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

Step 2

Reorder terms.

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

Step 3

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

$x = 1$

Step 4