Solve 3622*63x^2=8

$$3622 \times 63 { x }^{ 2 } =8$$

Solve for x

$$x=\frac{2\sqrt{12677}}{38031}\approx 0.005921074$$

$$x=-\frac{2\sqrt{12677}}{38031}\approx -0.005921074$$

Steps by Finding Square Root

Multiply 3622 and 63 to get 228186.

$$228186x^{2}=8$$

Divide both sides by 228186.

$$x^{2}=\frac{8}{228186}$$

Reduce the fraction \frac{8}{228186} to lowest terms by extracting and canceling out 2.

$$x^{2}=\frac{4}{114093}$$

Take the square root of both sides of the equation.

$$x=\frac{2\sqrt{12677}}{38031} x=-\frac{2\sqrt{12677}}{38031}$$

Steps Using the Quadratic Formula

Multiply 3622 and 63 to get 228186.

$$228186x^{2}=8$$

Subtract 8 from both sides.

$$228186x^{2}-8=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 228186 for a, 0 for b, and -8 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 228186\left(-8\right)}}{2\times 228186}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 228186\left(-8\right)}}{2\times 228186}$$

Multiply -4 times 228186.

$$x=\frac{0±\sqrt{-912744\left(-8\right)}}{2\times 228186}$$

Multiply -912744 times -8.

$$x=\frac{0±\sqrt{7301952}}{2\times 228186}$$

Take the square root of 7301952.

$$x=\frac{0±24\sqrt{12677}}{2\times 228186}$$

Multiply 2 times 228186.

$$x=\frac{0±24\sqrt{12677}}{456372}$$

Now solve the equation x=\frac{0±24\sqrt{12677}}{456372} when ± is plus.

$$x=\frac{2\sqrt{12677}}{38031}$$

Now solve the equation x=\frac{0±24\sqrt{12677}}{456372} when ± is minus.

$$x=-\frac{2\sqrt{12677}}{38031}$$

The equation is now solved.

$$x=\frac{2\sqrt{12677}}{38031} x=-\frac{2\sqrt{12677}}{38031}$$