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x^{2}=151-49
Subtract 49 from both sides.
x^{2}=102
Subtract 49 from 151 to get 102.
x=\sqrt{102} x=-\sqrt{102}
Take the square root of both sides of the equation.
x^{2}+49-151=0
Subtract 151 from both sides.
x^{2}-102=0
Subtract 151 from 49 to get -102.
x=\frac{0±\sqrt{0^{2}-4\left(-102\right)}}{2}
This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -102 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
x=\frac{0±\sqrt{-4\left(-102\right)}}{2}
Square 0.
x=\frac{0±\sqrt{408}}{2}
Multiply -4 times -102.
x=\frac{0±2\sqrt{102}}{2}
Take the square root of 408.
x=\sqrt{102}
Now solve the equation x=\frac{0±2\sqrt{102}}{2} when ± is plus.
x=-\sqrt{102}
Now solve the equation x=\frac{0±2\sqrt{102}}{2} when ± is minus.
x=\sqrt{102} x=-\sqrt{102}
The equation is now solved.