Solve x^2+5*7=200

$$x ^ { 2 } + 5 \cdot 7 = 200$$

Solve for x

$$x=\sqrt{165}\approx 12.845232579$$

$$x=-\sqrt{165}\approx -12.845232579$$

Steps by Finding Square Root

Multiply 5 and 7 to get 35.

$$x^{2}+35=200$$

Subtract 35 from both sides.

$$x^{2}=200-35$$

Subtract 35 from 200 to get 165.

$$x^{2}=165$$

Take the square root of both sides of the equation.

$$x=\sqrt{165} x=-\sqrt{165}$$

Steps Using the Quadratic Formula

Multiply 5 and 7 to get 35.

$$x^{2}+35=200$$

Subtract 200 from both sides.

$$x^{2}+35-200=0$$

Subtract 200 from 35 to get -165.

$$x^{2}-165=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -165 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-165\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-165\right)}}{2}$$

Multiply -4 times -165.

$$x=\frac{0±\sqrt{660}}{2}$$

Take the square root of 660.

$$x=\frac{0±2\sqrt{165}}{2}$$

Now solve the equation x=\frac{0±2\sqrt{165}}{2} when ± is plus.

$$x=\sqrt{165}$$

Now solve the equation x=\frac{0±2\sqrt{165}}{2} when ± is minus.

$$x=-\sqrt{165}$$

The equation is now solved.

$$x=\sqrt{165} x=-\sqrt{165}$$