Solve 80=44x^2

$$80=44 { x }^{ 2 }$$

Solve for x

$$x = \frac{2 \sqrt{55}}{11} \approx 1.348399725$$

$$x = -\frac{2 \sqrt{55}}{11} \approx -1.348399725$$

Steps by Finding Square Root

Divide both sides by 44.

$$\frac{80}{44}=x^{2}$$

Reduce the fraction \frac{80}{44} to lowest terms by extracting and canceling out 4.

$$\frac{20}{11}=x^{2}$$

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

$$x^{2}=\frac{20}{11}$$

Take the square root of both sides of the equation.

$$x=\frac{2\sqrt{55}}{11} x=-\frac{2\sqrt{55}}{11}$$

Steps Using the Quadratic Formula

Divide both sides by 44.

$$\frac{80}{44}=x^{2}$$

Reduce the fraction \frac{80}{44} to lowest terms by extracting and canceling out 4.

$$\frac{20}{11}=x^{2}$$

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

$$x^{2}=\frac{20}{11}$$

Subtract \frac{20}{11} from both sides.

$$x^{2}-\frac{20}{11}=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -\frac{20}{11} for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-\frac{20}{11}\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-\frac{20}{11}\right)}}{2}$$

Multiply -4 times -\frac{20}{11}.

$$x=\frac{0±\sqrt{\frac{80}{11}}}{2}$$

Take the square root of \frac{80}{11}.

$$x=\frac{0±\frac{4\sqrt{55}}{11}}{2}$$

Now solve the equation x=\frac{0±\frac{4\sqrt{55}}{11}}{2} when ± is plus.

$$x=\frac{2\sqrt{55}}{11}$$

Now solve the equation x=\frac{0±\frac{4\sqrt{55}}{11}}{2} when ± is minus.

$$x=-\frac{2\sqrt{55}}{11}$$

The equation is now solved.

$$x=\frac{2\sqrt{55}}{11} x=-\frac{2\sqrt{55}}{11}$$