Solve d^2-6/5=k

$$\frac { d ^ { 2 } - 6 } { 5 } = k$$

Solve for k

$$k=\frac{d^{2}-6}{5}$$

Solution Steps

Divide each term of d^{2}-6 by 5 to get \frac{1}{5}d^{2}-\frac{6}{5}.

$$\frac{1}{5}d^{2}-\frac{6}{5}=k$$

Swap sides so that all variable terms are on the left hand side.

$$k=\frac{1}{5}d^{2}-\frac{6}{5}$$

Solve for d (complex solution)

$$d=-\sqrt{5k+6}$$

$$d=\sqrt{5k+6}$$

Solve for d

$$d=\sqrt{5k+6}$$

$$d=-\sqrt{5k+6}\text{, }k\geq -\frac{6}{5}$$