Solve 300=h^2+54

$$300 = h ^ { 2 } + 54$$

Solve for h

$$h=\sqrt{246}\approx 15.684387141$$

$$h=-\sqrt{246}\approx -15.684387141$$

Steps by Finding Square Root

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

$$h^{2}+54=300$$

Subtract 54 from both sides.

$$h^{2}=300-54$$

Subtract 54 from 300 to get 246.

$$h^{2}=246$$

Take the square root of both sides of the equation.

$$h=\sqrt{246} h=-\sqrt{246}$$

Steps Using the Quadratic Formula

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

$$h^{2}+54=300$$

Subtract 300 from both sides.

$$h^{2}+54-300=0$$

Subtract 300 from 54 to get -246.

$$h^{2}-246=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -246 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$h=\frac{0±\sqrt{0^{2}-4\left(-246\right)}}{2}$$

Square 0.

$$h=\frac{0±\sqrt{-4\left(-246\right)}}{2}$$

Multiply -4 times -246.

$$h=\frac{0±\sqrt{984}}{2}$$

Take the square root of 984.

$$h=\frac{0±2\sqrt{246}}{2}$$

Now solve the equation h=\frac{0±2\sqrt{246}}{2} when ± is plus.

$$h=\sqrt{246}$$

Now solve the equation h=\frac{0±2\sqrt{246}}{2} when ± is minus.

$$h=-\sqrt{246}$$

The equation is now solved.

$$h=\sqrt{246} h=-\sqrt{246}$$