Solve 3x*x=50.

$$3x \times x=50.$$

Solve for x

$$x = \frac{5 \sqrt{6}}{3} \approx 4.082482905$$

$$x = -\frac{5 \sqrt{6}}{3} \approx -4.082482905$$

Steps by Finding Square Root

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

$$3x^{2}=50$$

Divide both sides by 3.

$$x^{2}=\frac{50}{3}$$

Take the square root of both sides of the equation.

$$x=\frac{5\sqrt{6}}{3} x=-\frac{5\sqrt{6}}{3}$$

Steps Using the Quadratic Formula

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

$$3x^{2}=50$$

Subtract 50 from both sides.

$$3x^{2}-50=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 3 for a, 0 for b, and -50 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 3\left(-50\right)}}{2\times 3}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 3\left(-50\right)}}{2\times 3}$$

Multiply -4 times 3.

$$x=\frac{0±\sqrt{-12\left(-50\right)}}{2\times 3}$$

Multiply -12 times -50.

$$x=\frac{0±\sqrt{600}}{2\times 3}$$

Take the square root of 600.

$$x=\frac{0±10\sqrt{6}}{2\times 3}$$

Multiply 2 times 3.

$$x=\frac{0±10\sqrt{6}}{6}$$

Now solve the equation x=\frac{0±10\sqrt{6}}{6} when ± is plus.

$$x=\frac{5\sqrt{6}}{3}$$

Now solve the equation x=\frac{0±10\sqrt{6}}{6} when ± is minus.

$$x=-\frac{5\sqrt{6}}{3}$$

The equation is now solved.

$$x=\frac{5\sqrt{6}}{3} x=-\frac{5\sqrt{6}}{3}$$