Solve 4x^2=3*10000

$$4 { x }^{ 2 } = 3 \cdot 10000$$

Solve for x

$$x=50\sqrt{3}\approx 86.602540378$$

$$x=-50\sqrt{3}\approx -86.602540378$$

Steps by Finding Square Root

Multiply 3 and 10000 to get 30000.

$$4x^{2}=30000$$

Divide both sides by 4.

$$x^{2}=\frac{30000}{4}$$

Divide 30000 by 4 to get 7500.

$$x^{2}=7500$$

Take the square root of both sides of the equation.

$$x=50\sqrt{3} x=-50\sqrt{3}$$

Steps Using the Quadratic Formula

Multiply 3 and 10000 to get 30000.

$$4x^{2}=30000$$

Subtract 30000 from both sides.

$$4x^{2}-30000=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 4 for a, 0 for b, and -30000 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 4\left(-30000\right)}}{2\times 4}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 4\left(-30000\right)}}{2\times 4}$$

Multiply -4 times 4.

$$x=\frac{0±\sqrt{-16\left(-30000\right)}}{2\times 4}$$

Multiply -16 times -30000.

$$x=\frac{0±\sqrt{480000}}{2\times 4}$$

Take the square root of 480000.

$$x=\frac{0±400\sqrt{3}}{2\times 4}$$

Multiply 2 times 4.

$$x=\frac{0±400\sqrt{3}}{8}$$

Now solve the equation x=\frac{0±400\sqrt{3}}{8} when ± is plus.

$$x=50\sqrt{3}$$

Now solve the equation x=\frac{0±400\sqrt{3}}{8} when ± is minus.

$$x=-50\sqrt{3}$$

The equation is now solved.

$$x=50\sqrt{3} x=-50\sqrt{3}$$