Solve x*x+4=192

$$x \times x+4=192$$

Solve for x

$$x=2\sqrt{47}\approx 13.711309201$$

$$x=-2\sqrt{47}\approx -13.711309201$$

Steps by Finding Square Root

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

$$x^{2}+4=192$$

Subtract 4 from both sides.

$$x^{2}=192-4$$

Subtract 4 from 192 to get 188.

$$x^{2}=188$$

Take the square root of both sides of the equation.

$$x=2\sqrt{47} x=-2\sqrt{47}$$

Steps Using the Quadratic Formula

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

$$x^{2}+4=192$$

Subtract 192 from both sides.

$$x^{2}+4-192=0$$

Subtract 192 from 4 to get -188.

$$x^{2}-188=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -188 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-188\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-188\right)}}{2}$$

Multiply -4 times -188.

$$x=\frac{0±\sqrt{752}}{2}$$

Take the square root of 752.

$$x=\frac{0±4\sqrt{47}}{2}$$

Now solve the equation x=\frac{0±4\sqrt{47}}{2} when ± is plus.

$$x=2\sqrt{47}$$

Now solve the equation x=\frac{0±4\sqrt{47}}{2} when ± is minus.

$$x=-2\sqrt{47}$$

The equation is now solved.

$$x=2\sqrt{47} x=-2\sqrt{47}$$