Algebra Examples

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

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

Step 1

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

Tap for more steps...

Step 1.1

Subtract

x

$x$ from both sides of the equation.

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

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

Step 1.2

Subtract

1

$1$ from both sides of the equation.

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

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

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

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

Step 2

Reorder terms.

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

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

Step 3

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

x = 1

$x = 1$

Step 4