Solve k^2-94=0

$$k ^ { 2 } - 94 = 0$$

Solve for k

$$k=\sqrt{94}\approx 9.695359715$$

$$k=-\sqrt{94}\approx -9.695359715$$

Steps by Finding Square Root

Add 94 to both sides. Anything plus zero gives itself.

$$k^{2}=94$$

Take the square root of both sides of the equation.

$$k=\sqrt{94} k=-\sqrt{94}$$

Steps Using the Quadratic Formula

Quadratic equations like this one, with an x^{2} term but no x term, can still be solved using the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}, once they are put in standard form: ax^{2}+bx+c=0.

$$k^{2}-94=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -94 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$k=\frac{0±\sqrt{0^{2}-4\left(-94\right)}}{2}$$

Square 0.

$$k=\frac{0±\sqrt{-4\left(-94\right)}}{2}$$

Multiply -4 times -94.

$$k=\frac{0±\sqrt{376}}{2}$$

Take the square root of 376.

$$k=\frac{0±2\sqrt{94}}{2}$$

Now solve the equation k=\frac{0±2\sqrt{94}}{2} when ± is plus.

$$k=\sqrt{94}$$

Now solve the equation k=\frac{0±2\sqrt{94}}{2} when ± is minus.

$$k=-\sqrt{94}$$

The equation is now solved.

$$k=\sqrt{94} k=-\sqrt{94}$$