Solve 526x*325x=63

$$526 x \times 325 x = 63$$

Solve for x

$$x=\frac{3\sqrt{47866}}{34190}\approx 0.019197104$$

$$x=-\frac{3\sqrt{47866}}{34190}\approx -0.019197104$$

Steps by Finding Square Root

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

$$526x^{2}\times 325=63$$

Multiply 526 and 325 to get 170950.

$$170950x^{2}=63$$

Divide both sides by 170950.

$$x^{2}=\frac{63}{170950}$$

Take the square root of both sides of the equation.

$$x=\frac{3\sqrt{47866}}{34190} x=-\frac{3\sqrt{47866}}{34190}$$

Steps Using the Quadratic Formula

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

$$526x^{2}\times 325=63$$

Multiply 526 and 325 to get 170950.

$$170950x^{2}=63$$

Subtract 63 from both sides.

$$170950x^{2}-63=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 170950 for a, 0 for b, and -63 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 170950\left(-63\right)}}{2\times 170950}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 170950\left(-63\right)}}{2\times 170950}$$

Multiply -4 times 170950.

$$x=\frac{0±\sqrt{-683800\left(-63\right)}}{2\times 170950}$$

Multiply -683800 times -63.

$$x=\frac{0±\sqrt{43079400}}{2\times 170950}$$

Take the square root of 43079400.

$$x=\frac{0±30\sqrt{47866}}{2\times 170950}$$

Multiply 2 times 170950.

$$x=\frac{0±30\sqrt{47866}}{341900}$$

Now solve the equation x=\frac{0±30\sqrt{47866}}{341900} when ± is plus.

$$x=\frac{3\sqrt{47866}}{34190}$$

Now solve the equation x=\frac{0±30\sqrt{47866}}{341900} when ± is minus.

$$x=-\frac{3\sqrt{47866}}{34190}$$

The equation is now solved.

$$x=\frac{3\sqrt{47866}}{34190} x=-\frac{3\sqrt{47866}}{34190}$$