Solve k^2=16*36

$$k ^ { 2 } = 16 \times 36$$

Solve for k

$$k=24$$

$$k=-24$$

Steps Using Difference of Squares

Multiply 16 and 36 to get 576.

$$k^{2}=576$$

Subtract 576 from both sides.

$$k^{2}-576=0$$

Consider k^{2}-576. Rewrite k^{2}-576 as k^{2}-24^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(k-24\right)\left(k+24\right)=0$$

To find equation solutions, solve k-24=0 and k+24=0.

$$k=24 k=-24$$

Steps by Finding Square Root

Multiply 16 and 36 to get 576.

$$k^{2}=576$$

Take the square root of both sides of the equation.

$$k=24 k=-24$$

Steps Using the Quadratic Formula

Multiply 16 and 36 to get 576.

$$k^{2}=576$$

Subtract 576 from both sides.

$$k^{2}-576=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -576 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$k=\frac{0±\sqrt{0^{2}-4\left(-576\right)}}{2}$$

Square 0.

$$k=\frac{0±\sqrt{-4\left(-576\right)}}{2}$$

Multiply -4 times -576.

$$k=\frac{0±\sqrt{2304}}{2}$$

Take the square root of 2304.

$$k=\frac{0±48}{2}$$

Now solve the equation k=\frac{0±48}{2} when ± is plus. Divide 48 by 2.

$$k=24$$

Now solve the equation k=\frac{0±48}{2} when ± is minus. Divide -48 by 2.

$$k=-24$$

The equation is now solved.

$$k=24 k=-24$$