Solve x*x+5=8*12

$$x \times x+5=8 \times 12$$

Solve for x

$$x=\sqrt{91}\approx 9.539392014$$

$$x=-\sqrt{91}\approx -9.539392014$$

Steps by Finding Square Root

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

$$x^{2}+5=8\times 12$$

Multiply 8 and 12 to get 96.

$$x^{2}+5=96$$

Subtract 5 from both sides.

$$x^{2}=96-5$$

Subtract 5 from 96 to get 91.

$$x^{2}=91$$

Take the square root of both sides of the equation.

$$x=\sqrt{91} x=-\sqrt{91}$$

Steps Using the Quadratic Formula

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

$$x^{2}+5=8\times 12$$

Multiply 8 and 12 to get 96.

$$x^{2}+5=96$$

Subtract 96 from both sides.

$$x^{2}+5-96=0$$

Subtract 96 from 5 to get -91.

$$x^{2}-91=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -91 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-91\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-91\right)}}{2}$$

Multiply -4 times -91.

$$x=\frac{0±\sqrt{364}}{2}$$

Take the square root of 364.

$$x=\frac{0±2\sqrt{91}}{2}$$

Now solve the equation x=\frac{0±2\sqrt{91}}{2} when ± is plus.

$$x=\sqrt{91}$$

Now solve the equation x=\frac{0±2\sqrt{91}}{2} when ± is minus.

$$x=-\sqrt{91}$$

The equation is now solved.

$$x=\sqrt{91} x=-\sqrt{91}$$