Solve (y+150)^2=50

$$( y + 150 ) ^ { 2 } = 50$$

Solve for y

$$y=5\sqrt{2}-150\approx -142.928932188$$

$$y=-5\sqrt{2}-150\approx -157.071067812$$

Steps by Finding Square Root

Take the square root of both sides of the equation.

$$y+150=5\sqrt{2} y+150=-5\sqrt{2}$$

Subtract 150 from both sides of the equation.

$$y+150-150=5\sqrt{2}-150 y+150-150=-5\sqrt{2}-150$$

Subtracting 150 from itself leaves 0.

$$y=5\sqrt{2}-150 y=-5\sqrt{2}-150$$