Solve 2k=13-16p^2

$$2 k = 13 - 16 p ^ { 2 }$$

Solve for k

$$k=\frac{13}{2}-8p^{2}$$

Steps for Solving Linear Equation

The equation is in standard form.

$$2k=13-16p^{2}$$

Divide both sides by 2.

$$\frac{2k}{2}=\frac{13-16p^{2}}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$k=\frac{13-16p^{2}}{2}$$

Divide 13-16p^{2} by 2.

$$k=\frac{13}{2}-8p^{2}$$

Solve for p

$$p=\frac{\sqrt{13-2k}}{4}$$

$$p=-\frac{\sqrt{13-2k}}{4}\text{, }k\leq \frac{13}{2}$$