Solve sqrt{u}+y=10

$$\sqrt { u } + y = 10$$

Solve for u

$$u=\left(10-y\right)^{2}$$

$$10-y\geq 0$$

Steps for Solving Radical Equations

Subtract y from both sides of the equation.

$$\sqrt{u}+y-y=10-y$$

Subtracting y from itself leaves 0.

$$\sqrt{u}=10-y$$

Square both sides of the equation.

$$u=\left(10-y\right)^{2}$$

Solve for u (complex solution)

$$u=\left(10-y\right)^{2}$$

$$y=10\text{ or }arg(10-y)<\pi$$

Solve for y (complex solution)

$$y=-\sqrt{u}+10$$

Solve for y

$$y=-\sqrt{u}+10$$

$$u\geq 0$$