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1xx=6
Multiply both sides of the equation by 3.
1x^{2}=6
Multiply x and x to get x^{2}.
x^{2}=6
Divide both sides by 1.
x=\sqrt{6} x=-\sqrt{6}
Take the square root of both sides of the equation.
1xx=6
Multiply both sides of the equation by 3.
1x^{2}=6
Multiply x and x to get x^{2}.
1x^{2}-6=0
Subtract 6 from both sides.
x^{2}-6=0
Reorder the terms.
x=\frac{0±\sqrt{0^{2}-4\left(-6\right)}}{2}
This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -6 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
x=\frac{0±\sqrt{-4\left(-6\right)}}{2}
Square 0.
x=\frac{0±\sqrt{24}}{2}
Multiply -4 times -6.
x=\frac{0±2\sqrt{6}}{2}
Take the square root of 24.
x=\sqrt{6}
Now solve the equation x=\frac{0±2\sqrt{6}}{2} when ± is plus.
x=-\sqrt{6}
Now solve the equation x=\frac{0±2\sqrt{6}}{2} when ± is minus.
x=\sqrt{6} x=-\sqrt{6}
The equation is now solved.