Solve 3x*3x=14

$$3x \times 3x=14$$

Solve for x

$$x = \frac{\sqrt{14}}{3} \approx 1.247219129$$

$$x = -\frac{\sqrt{14}}{3} \approx -1.247219129$$

Steps by Finding Square Root

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

$$3x^{2}\times 3=14$$

Multiply 3 and 3 to get 9.

$$9x^{2}=14$$

Divide both sides by 9.

$$x^{2}=\frac{14}{9}$$

Take the square root of both sides of the equation.

$$x=\frac{\sqrt{14}}{3} x=-\frac{\sqrt{14}}{3}$$

Steps Using the Quadratic Formula

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

$$3x^{2}\times 3=14$$

Multiply 3 and 3 to get 9.

$$9x^{2}=14$$

Subtract 14 from both sides.

$$9x^{2}-14=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 9 for a, 0 for b, and -14 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 9\left(-14\right)}}{2\times 9}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 9\left(-14\right)}}{2\times 9}$$

Multiply -4 times 9.

$$x=\frac{0±\sqrt{-36\left(-14\right)}}{2\times 9}$$

Multiply -36 times -14.

$$x=\frac{0±\sqrt{504}}{2\times 9}$$

Take the square root of 504.

$$x=\frac{0±6\sqrt{14}}{2\times 9}$$

Multiply 2 times 9.

$$x=\frac{0±6\sqrt{14}}{18}$$

Now solve the equation x=\frac{0±6\sqrt{14}}{18} when ± is plus.

$$x=\frac{\sqrt{14}}{3}$$

Now solve the equation x=\frac{0±6\sqrt{14}}{18} when ± is minus.

$$x=-\frac{\sqrt{14}}{3}$$

The equation is now solved.

$$x=\frac{\sqrt{14}}{3} x=-\frac{\sqrt{14}}{3}$$