Solve 28x^2=3105^2

$$28 x ^ { 2 } = 3105 ^ { 2 }$$

Solve for x

$$x = \frac{3105 \sqrt{7}}{14} \approx 586.789844347$$

$$x = -\frac{3105 \sqrt{7}}{14} \approx -586.789844347$$

Steps by Finding Square Root

Calculate 3105 to the power of 2 and get 9641025.

$$28x^{2}=9641025$$

Divide both sides by 28.

$$x^{2}=\frac{9641025}{28}$$

Take the square root of both sides of the equation.

$$x=\frac{3105\sqrt{7}}{14} x=-\frac{3105\sqrt{7}}{14}$$

Steps Using the Quadratic Formula

Calculate 3105 to the power of 2 and get 9641025.

$$28x^{2}=9641025$$

Subtract 9641025 from both sides.

$$28x^{2}-9641025=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 28 for a, 0 for b, and -9641025 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 28\left(-9641025\right)}}{2\times 28}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 28\left(-9641025\right)}}{2\times 28}$$

Multiply -4 times 28.

$$x=\frac{0±\sqrt{-112\left(-9641025\right)}}{2\times 28}$$

Multiply -112 times -9641025.

$$x=\frac{0±\sqrt{1079794800}}{2\times 28}$$

Take the square root of 1079794800.

$$x=\frac{0±12420\sqrt{7}}{2\times 28}$$

Multiply 2 times 28.

$$x=\frac{0±12420\sqrt{7}}{56}$$

Now solve the equation x=\frac{0±12420\sqrt{7}}{56} when ± is plus.

$$x=\frac{3105\sqrt{7}}{14}$$

Now solve the equation x=\frac{0±12420\sqrt{7}}{56} when ± is minus.

$$x=-\frac{3105\sqrt{7}}{14}$$

The equation is now solved.

$$x=\frac{3105\sqrt{7}}{14} x=-\frac{3105\sqrt{7}}{14}$$