Solve by Factoring square root of x^2+5=3-x

$\sqrt{x^{2} + 5} = 3 - x$

Step 1

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

Subtract $3$ from both sides of the equation.

$\sqrt{x^{2} + 5} - 3 = - x$

Add $x$ to both sides of the equation.

$\sqrt{x^{2} + 5} - 3 + x = 0$

Step 2

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

$x = \frac{2}{3}$

Step 3