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x^{2}=101
Swap sides so that all variable terms are on the left hand side.
x=\sqrt{101} x=-\sqrt{101}
Take the square root of both sides of the equation.
x^{2}=101
Swap sides so that all variable terms are on the left hand side.
x^{2}-101=0
Subtract 101 from both sides.
x=\frac{0±\sqrt{0^{2}-4\left(-101\right)}}{2}
This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -101 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
x=\frac{0±\sqrt{-4\left(-101\right)}}{2}
Square 0.
x=\frac{0±\sqrt{404}}{2}
Multiply -4 times -101.
x=\frac{0±2\sqrt{101}}{2}
Take the square root of 404.
x=\sqrt{101}
Now solve the equation x=\frac{0±2\sqrt{101}}{2} when ± is plus.
x=-\sqrt{101}
Now solve the equation x=\frac{0±2\sqrt{101}}{2} when ± is minus.
x=\sqrt{101} x=-\sqrt{101}
The equation is now solved.