Solve x*x+6=7

$$x \times x + 6 = 7$$

Solve for x

$$x=1$$

$$x=-1$$

Steps by Finding Square Root

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

$$x^{2}+6=7$$

Subtract 6 from both sides.

$$x^{2}=7-6$$

Subtract 6 from 7 to get 1.

$$x^{2}=1$$

Take the square root of both sides of the equation.

$$x=1 x=-1$$

Steps Using the Quadratic Formula

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

$$x^{2}+6=7$$

Subtract 7 from both sides.

$$x^{2}+6-7=0$$

Subtract 7 from 6 to get -1.

$$x^{2}-1=0$$

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

$$x=\frac{0±\sqrt{0^{2}-4\left(-1\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-1\right)}}{2}$$

Multiply -4 times -1.

$$x=\frac{0±\sqrt{4}}{2}$$

Take the square root of 4.

$$x=\frac{0±2}{2}$$

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

$$x=1$$

Now solve the equation x=\frac{0±2}{2} when ± is minus. Divide -2 by 2.

$$x=-1$$

The equation is now solved.

$$x=1 x=-1$$