Solve 4x^2=3*1000

$$4 x ^ { 2 } = 3 \cdot 1000$$

Solve for x

$$x=5\sqrt{30}\approx 27.386127875$$

$$x=-5\sqrt{30}\approx -27.386127875$$

Steps by Finding Square Root

Multiply 3 and 1000 to get 3000.

$$4x^{2}=3000$$

Divide both sides by 4.

$$x^{2}=\frac{3000}{4}$$

Divide 3000 by 4 to get 750.

$$x^{2}=750$$

Take the square root of both sides of the equation.

$$x=5\sqrt{30} x=-5\sqrt{30}$$

Steps Using the Quadratic Formula

Multiply 3 and 1000 to get 3000.

$$4x^{2}=3000$$

Subtract 3000 from both sides.

$$4x^{2}-3000=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 4 for a, 0 for b, and -3000 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 4\left(-3000\right)}}{2\times 4}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 4\left(-3000\right)}}{2\times 4}$$

Multiply -4 times 4.

$$x=\frac{0±\sqrt{-16\left(-3000\right)}}{2\times 4}$$

Multiply -16 times -3000.

$$x=\frac{0±\sqrt{48000}}{2\times 4}$$

Take the square root of 48000.

$$x=\frac{0±40\sqrt{30}}{2\times 4}$$

Multiply 2 times 4.

$$x=\frac{0±40\sqrt{30}}{8}$$

Now solve the equation x=\frac{0±40\sqrt{30}}{8} when ± is plus.

$$x=5\sqrt{30}$$

Now solve the equation x=\frac{0±40\sqrt{30}}{8} when ± is minus.

$$x=-5\sqrt{30}$$

The equation is now solved.

$$x=5\sqrt{30} x=-5\sqrt{30}$$