Solve 17x(x)=10625

$$17 x ( x ) = 10625$$

Solve for x

$$x=25$$

$$x=-25$$

Steps by Finding Square Root

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

$$17x^{2}=10625$$

Divide both sides by 17.

$$x^{2}=\frac{10625}{17}$$

Divide 10625 by 17 to get 625.

$$x^{2}=625$$

Take the square root of both sides of the equation.

$$x=25 x=-25$$

Steps Using the Quadratic Formula

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

$$17x^{2}=10625$$

Subtract 10625 from both sides.

$$17x^{2}-10625=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 17 for a, 0 for b, and -10625 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 17\left(-10625\right)}}{2\times 17}$$

Square 0.

$$x=\frac{0±\sqrt{-4\times 17\left(-10625\right)}}{2\times 17}$$

Multiply -4 times 17.

$$x=\frac{0±\sqrt{-68\left(-10625\right)}}{2\times 17}$$

Multiply -68 times -10625.

$$x=\frac{0±\sqrt{722500}}{2\times 17}$$

Take the square root of 722500.

$$x=\frac{0±850}{2\times 17}$$

Multiply 2 times 17.

$$x=\frac{0±850}{34}$$

Now solve the equation x=\frac{0±850}{34} when ± is plus. Divide 850 by 34.

$$x=25$$

Now solve the equation x=\frac{0±850}{34} when ± is minus. Divide -850 by 34.

$$x=-25$$

The equation is now solved.

$$x=25 x=-25$$