Solve 22/7*R*R*126000=22/7*40*40*315

$$\frac { 22 } { 7 } \times R \times R \times 126000 = \frac { 22 } { 7 } \times 40 \times 40 \times 315$$

Solve for R

$$R=2$$

$$R=-2$$

Steps by Finding Square Root

Cancel out \frac{22}{7} on both sides.

$$RR\times 126000=40\times 40\times 315$$

Multiply R and R to get R^{2}.

$$R^{2}\times 126000=40\times 40\times 315$$

Multiply 40 and 40 to get 1600.

$$R^{2}\times 126000=1600\times 315$$

Multiply 1600 and 315 to get 504000.

$$R^{2}\times 126000=504000$$

Divide both sides by 126000.

$$R^{2}=\frac{504000}{126000}$$

Divide 504000 by 126000 to get 4.

$$R^{2}=4$$

Take the square root of both sides of the equation.

$$R=2 R=-2$$

Steps Using the Quadratic Formula

Cancel out \frac{22}{7} on both sides.

$$RR\times 126000=40\times 40\times 315$$

Multiply R and R to get R^{2}.

$$R^{2}\times 126000=40\times 40\times 315$$

Multiply 40 and 40 to get 1600.

$$R^{2}\times 126000=1600\times 315$$

Multiply 1600 and 315 to get 504000.

$$R^{2}\times 126000=504000$$

Subtract 504000 from both sides.

$$R^{2}\times 126000-504000=0$$

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.

$$126000R^{2}-504000=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 126000 for a, 0 for b, and -504000 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$R=\frac{0±\sqrt{0^{2}-4\times 126000\left(-504000\right)}}{2\times 126000}$$

Square 0.

$$R=\frac{0±\sqrt{-4\times 126000\left(-504000\right)}}{2\times 126000}$$

Multiply -4 times 126000.

$$R=\frac{0±\sqrt{-504000\left(-504000\right)}}{2\times 126000}$$

Multiply -504000 times -504000.

$$R=\frac{0±\sqrt{254016000000}}{2\times 126000}$$

Take the square root of 254016000000.

$$R=\frac{0±504000}{2\times 126000}$$

Multiply 2 times 126000.

$$R=\frac{0±504000}{252000}$$

Now solve the equation R=\frac{0±504000}{252000} when ± is plus. Divide 504000 by 252000.

$$R=2$$

Now solve the equation R=\frac{0±504000}{252000} when ± is minus. Divide -504000 by 252000.

$$R=-2$$

The equation is now solved.

$$R=2 R=-2$$