Solve 22/7*x^2=60

$$\frac{ 22 }{ 7 } \times { x }^{ 2 } =60$$

Solve for x

$$x = \frac{\sqrt{2310}}{11} \approx 4.369314488$$

$$x = -\frac{\sqrt{2310}}{11} \approx -4.369314488$$

Steps by Finding Square Root

Multiply both sides by \frac{7}{22}, the reciprocal of \frac{22}{7}.

$$x^{2}=60\times \frac{7}{22}$$

Multiply 60 and \frac{7}{22} to get \frac{210}{11}.

$$x^{2}=\frac{210}{11}$$

Take the square root of both sides of the equation.

$$x=\frac{\sqrt{2310}}{11} x=-\frac{\sqrt{2310}}{11}$$

Steps Using the Quadratic Formula

Multiply both sides by \frac{7}{22}, the reciprocal of \frac{22}{7}.

$$x^{2}=60\times \frac{7}{22}$$

Multiply 60 and \frac{7}{22} to get \frac{210}{11}.

$$x^{2}=\frac{210}{11}$$

Subtract \frac{210}{11} from both sides.

$$x^{2}-\frac{210}{11}=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -\frac{210}{11} for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-\frac{210}{11}\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-\frac{210}{11}\right)}}{2}$$

Multiply -4 times -\frac{210}{11}.

$$x=\frac{0±\sqrt{\frac{840}{11}}}{2}$$

Take the square root of \frac{840}{11}.

$$x=\frac{0±\frac{2\sqrt{2310}}{11}}{2}$$

Now solve the equation x=\frac{0±\frac{2\sqrt{2310}}{11}}{2} when ± is plus.

$$x=\frac{\sqrt{2310}}{11}$$

Now solve the equation x=\frac{0±\frac{2\sqrt{2310}}{11}}{2} when ± is minus.

$$x=-\frac{\sqrt{2310}}{11}$$

The equation is now solved.

$$x=\frac{\sqrt{2310}}{11} x=-\frac{\sqrt{2310}}{11}$$