Solve x*x=25/49

$$x \times x= \frac{ 25 }{ 49 }$$

Solve for x

$$x=\frac{5}{7}\approx 0.714285714$$

$$x=-\frac{5}{7}\approx -0.714285714$$

Steps by Finding Square Root

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

$$x^{2}=\frac{25}{49}$$

Take the square root of both sides of the equation.

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

Steps Using the Quadratic Formula

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

$$x^{2}=\frac{25}{49}$$

Subtract \frac{25}{49} from both sides.

$$x^{2}-\frac{25}{49}=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -\frac{25}{49} for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-\frac{25}{49}\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-\frac{25}{49}\right)}}{2}$$

Multiply -4 times -\frac{25}{49}.

$$x=\frac{0±\sqrt{\frac{100}{49}}}{2}$$

Take the square root of \frac{100}{49}.

$$x=\frac{0±\frac{10}{7}}{2}$$

Now solve the equation x=\frac{0±\frac{10}{7}}{2} when ± is plus.

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

Now solve the equation x=\frac{0±\frac{10}{7}}{2} when ± is minus.

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

The equation is now solved.

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