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x^{2}=25-8
Subtract 8 from both sides.
x^{2}=17
Subtract 8 from 25 to get 17.
x=\sqrt{17} x=-\sqrt{17}
Take the square root of both sides of the equation.
x^{2}+8-25=0
Subtract 25 from both sides.
x^{2}-17=0
Subtract 25 from 8 to get -17.
x=\frac{0±\sqrt{0^{2}-4\left(-17\right)}}{2}
This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -17 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
x=\frac{0±\sqrt{-4\left(-17\right)}}{2}
Square 0.
x=\frac{0±\sqrt{68}}{2}
Multiply -4 times -17.
x=\frac{0±2\sqrt{17}}{2}
Take the square root of 68.
x=\sqrt{17}
Now solve the equation x=\frac{0±2\sqrt{17}}{2} when ± is plus.
x=-\sqrt{17}
Now solve the equation x=\frac{0±2\sqrt{17}}{2} when ± is minus.
x=\sqrt{17} x=-\sqrt{17}
The equation is now solved.