Solve 7xx+25=0

$$7xx+25=0$$

Solve for x (complex solution)

$$x=-\frac{5\sqrt{7}i}{7}\approx -0-1.889822365i$$

$$x=\frac{5\sqrt{7}i}{7}\approx 1.889822365i$$

Steps by Finding Square Root

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

$$7x^{2}+25=0$$

Subtract 25 from both sides. Anything subtracted from zero gives its negation.

$$7x^{2}=-25$$

Divide both sides by 7.

$$x^{2}=-\frac{25}{7}$$

The equation is now solved.

$$x=\frac{5\sqrt{7}i}{7} x=-\frac{5\sqrt{7}i}{7}$$

Steps Using the Quadratic Formula

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

$$7x^{2}+25=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 7 for a, 0 for b, and 25 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 7\times 25}}{2\times 7}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 7\times 25}}{2\times 7}$$

Multiply -4 times 7.

$$x=\frac{0±\sqrt{-28\times 25}}{2\times 7}$$

Multiply -28 times 25.

$$x=\frac{0±\sqrt{-700}}{2\times 7}$$

Take the square root of -700.

$$x=\frac{0±10\sqrt{7}i}{2\times 7}$$

Multiply 2 times 7.

$$x=\frac{0±10\sqrt{7}i}{14}$$

Now solve the equation x=\frac{0±10\sqrt{7}i}{14} when ± is plus.

$$x=\frac{5\sqrt{7}i}{7}$$

Now solve the equation x=\frac{0±10\sqrt{7}i}{14} when ± is minus.

$$x=-\frac{5\sqrt{7}i}{7}$$

The equation is now solved.

$$x=\frac{5\sqrt{7}i}{7} x=-\frac{5\sqrt{7}i}{7}$$