Solve x*x*30=169

$$x \times x \times 30=169$$

Solve for x

$$x = \frac{13 \sqrt{30}}{30} \approx 2.373464416$$

$$x = -\frac{13 \sqrt{30}}{30} \approx -2.373464416$$

Steps by Finding Square Root

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

$$x^{2}\times 30=169$$

Divide both sides by 30.

$$x^{2}=\frac{169}{30}$$

Take the square root of both sides of the equation.

$$x=\frac{13\sqrt{30}}{30} x=-\frac{13\sqrt{30}}{30}$$

Steps Using the Quadratic Formula

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

$$x^{2}\times 30=169$$

Subtract 169 from both sides.

$$x^{2}\times 30-169=0$$

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.

$$30x^{2}-169=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 30 for a, 0 for b, and -169 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 30\left(-169\right)}}{2\times 30}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 30\left(-169\right)}}{2\times 30}$$

Multiply -4 times 30.

$$x=\frac{0±\sqrt{-120\left(-169\right)}}{2\times 30}$$

Multiply -120 times -169.

$$x=\frac{0±\sqrt{20280}}{2\times 30}$$

Take the square root of 20280.

$$x=\frac{0±26\sqrt{30}}{2\times 30}$$

Multiply 2 times 30.

$$x=\frac{0±26\sqrt{30}}{60}$$

Now solve the equation x=\frac{0±26\sqrt{30}}{60} when ± is plus.

$$x=\frac{13\sqrt{30}}{30}$$

Now solve the equation x=\frac{0±26\sqrt{30}}{60} when ± is minus.

$$x=-\frac{13\sqrt{30}}{30}$$

The equation is now solved.

$$x=\frac{13\sqrt{30}}{30} x=-\frac{13\sqrt{30}}{30}$$