Solve 12^2-2sqrt{2}x+2=0

$$12 ^ { 2 } - 2 \sqrt { 2 } x + 2 = 0$$

Solve for x

$$x = \frac{73 \sqrt{2}}{2} \approx 51.618795027$$

Steps for Solving Linear Equation

Calculate 12 to the power of 2 and get 144.

$$144-2\sqrt{2}x+2=0$$

Subtract 2 from both sides. Anything subtracted from zero gives its negation.

$$144-2\sqrt{2}x=-2$$

Subtract 144 from both sides.

$$-2\sqrt{2}x=-2-144$$

Subtract 144 from -2 to get -146.

$$-2\sqrt{2}x=-146$$

The equation is in standard form.

$$\left(-2\sqrt{2}\right)x=-146$$

Divide both sides by -2\sqrt{2}.

$$\frac{\left(-2\sqrt{2}\right)x}{-2\sqrt{2}}=-\frac{146}{-2\sqrt{2}}$$

Dividing by -2\sqrt{2} undoes the multiplication by -2\sqrt{2}.

$$x=-\frac{146}{-2\sqrt{2}}$$

Divide -146 by -2\sqrt{2}.

$$x=\frac{73\sqrt{2}}{2}$$