Solve (y-5)^2+24=0

$$( y - 5 ) ^ { 2 } + 24 = 0$$

Solve for y

$$y=-2\sqrt{6}i+5\approx 5-4.898979486i$$

$$y=5+2\sqrt{6}i\approx 5+4.898979486i$$

Steps by Finding Square Root

Subtracting 24 from itself leaves 0.

$$\left(y-5\right)^{2}=-24$$

Take the square root of both sides of the equation.

$$y-5=2\sqrt{6}i y-5=-2\sqrt{6}i$$

Add 5 to both sides of the equation.

$$y-5-\left(-5\right)=2\sqrt{6}i-\left(-5\right) y-5-\left(-5\right)=-2\sqrt{6}i-\left(-5\right)$$

Subtracting -5 from itself leaves 0.

$$y=2\sqrt{6}i-\left(-5\right) y=-2\sqrt{6}i-\left(-5\right)$$

Subtract -5 from 2i\sqrt{6}.

$$y=5+2\sqrt{6}i$$

Subtract -5 from -2i\sqrt{6}.

$$y=-2\sqrt{6}i+5$$

The equation is now solved.

$$y=5+2\sqrt{6}i y=-2\sqrt{6}i+5$$