Solve x^2+1=134

$$x ^ { 2 } + 1 = 134$$

Solve for x

$$x=\sqrt{133}\approx 11.532562595$$

$$x=-\sqrt{133}\approx -11.532562595$$

Steps by Finding Square Root

Subtract 1 from both sides.

$$x^{2}=134-1$$

Subtract 1 from 134 to get 133.

$$x^{2}=133$$

Take the square root of both sides of the equation.

$$x=\sqrt{133} x=-\sqrt{133}$$

Steps Using the Quadratic Formula

Subtract 134 from both sides.

$$x^{2}+1-134=0$$

Subtract 134 from 1 to get -133.

$$x^{2}-133=0$$

This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -133 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-133\right)}}{2}$$

Square 0.

$$x=\frac{0±\sqrt{-4\left(-133\right)}}{2}$$

Multiply -4 times -133.

$$x=\frac{0±\sqrt{532}}{2}$$

Take the square root of 532.

$$x=\frac{0±2\sqrt{133}}{2}$$

Now solve the equation x=\frac{0±2\sqrt{133}}{2} when ± is plus.

$$x=\sqrt{133}$$

Now solve the equation x=\frac{0±2\sqrt{133}}{2} when ± is minus.

$$x=-\sqrt{133}$$

The equation is now solved.

$$x=\sqrt{133} x=-\sqrt{133}$$