Solve 5x*6x=23

$$5x \cdot 6x = 23$$

Solve for x

$$x=\frac{\sqrt{690}}{30}\approx 0.875595036$$

$$x=-\frac{\sqrt{690}}{30}\approx -0.875595036$$

Steps by Finding Square Root

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

$$5x^{2}\times 6=23$$

Multiply 5 and 6 to get 30.

$$30x^{2}=23$$

Divide both sides by 30.

$$x^{2}=\frac{23}{30}$$

Take the square root of both sides of the equation.

$$x=\frac{\sqrt{690}}{30} x=-\frac{\sqrt{690}}{30}$$

Steps Using the Quadratic Formula

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

$$5x^{2}\times 6=23$$

Multiply 5 and 6 to get 30.

$$30x^{2}=23$$

Subtract 23 from both sides.

$$30x^{2}-23=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 30 for a, 0 for b, and -23 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 30\left(-23\right)}}{2\times 30}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 30\left(-23\right)}}{2\times 30}$$

Multiply -4 times 30.

$$x=\frac{0±\sqrt{-120\left(-23\right)}}{2\times 30}$$

Multiply -120 times -23.

$$x=\frac{0±\sqrt{2760}}{2\times 30}$$

Take the square root of 2760.

$$x=\frac{0±2\sqrt{690}}{2\times 30}$$

Multiply 2 times 30.

$$x=\frac{0±2\sqrt{690}}{60}$$

Now solve the equation x=\frac{0±2\sqrt{690}}{60} when ± is plus.

$$x=\frac{\sqrt{690}}{30}$$

Now solve the equation x=\frac{0±2\sqrt{690}}{60} when ± is minus.

$$x=-\frac{\sqrt{690}}{30}$$

The equation is now solved.

$$x=\frac{\sqrt{690}}{30} x=-\frac{\sqrt{690}}{30}$$