Solve k^2x-14=1

$$k ^ { 2 } x - 14 = 1$$

Solve for x

$$x=\frac{15}{k^{2}}$$

$$k\neq 0$$

Steps for Solving Linear Equation

Add 14 to both sides.

$$k^{2}x=1+14$$

Add 1 and 14 to get 15.

$$k^{2}x=15$$

Divide both sides by k^{2}.

$$\frac{k^{2}x}{k^{2}}=\frac{15}{k^{2}}$$

Dividing by k^{2} undoes the multiplication by k^{2}.

$$x=\frac{15}{k^{2}}$$

Solve for k (complex solution)

$$k=-\sqrt{15}x^{-\frac{1}{2}}$$

$$k=\sqrt{15}x^{-\frac{1}{2}}\text{, }x\neq 0$$

Solve for k

$$k=\sqrt{\frac{15}{x}}$$

$$k=-\sqrt{\frac{15}{x}}\text{, }x>0$$