Solve -8k^2=-576

$$- 8 k ^ { 2 } = - 576$$

Solve for k

$$k=6\sqrt{2}\approx 8.485281374$$

$$k=-6\sqrt{2}\approx -8.485281374$$

Steps by Finding Square Root

Divide both sides by -8.

$$k^{2}=\frac{-576}{-8}$$

Divide -576 by -8 to get 72.

$$k^{2}=72$$

Take the square root of both sides of the equation.

$$k=6\sqrt{2} k=-6\sqrt{2}$$

Steps Using the Quadratic Formula

Divide both sides by -8.

$$k^{2}=\frac{-576}{-8}$$

Divide -576 by -8 to get 72.

$$k^{2}=72$$

Subtract 72 from both sides.

$$k^{2}-72=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -72 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$k=\frac{0±\sqrt{0^{2}-4\left(-72\right)}}{2}$$

Square 0.

$$k=\frac{0±\sqrt{-4\left(-72\right)}}{2}$$

Multiply -4 times -72.

$$k=\frac{0±\sqrt{288}}{2}$$

Take the square root of 288.

$$k=\frac{0±12\sqrt{2}}{2}$$

Now solve the equation k=\frac{0±12\sqrt{2}}{2} when ± is plus.

$$k=6\sqrt{2}$$

Now solve the equation k=\frac{0±12\sqrt{2}}{2} when ± is minus.

$$k=-6\sqrt{2}$$

The equation is now solved.

$$k=6\sqrt{2} k=-6\sqrt{2}$$