Solve for y
y=5\sqrt{601}\approx 122.576506721
y=-5\sqrt{601}\approx -122.576506721
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y^{2}=15025
Multiply y and y to get y^{2}.
y=5\sqrt{601} y=-5\sqrt{601}
Take the square root of both sides of the equation.
y^{2}=15025
Multiply y and y to get y^{2}.
y^{2}-15025=0
Subtract 15025 from both sides.
y=\frac{0±\sqrt{0^{2}-4\left(-15025\right)}}{2}
This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -15025 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
y=\frac{0±\sqrt{-4\left(-15025\right)}}{2}
Square 0.
y=\frac{0±\sqrt{60100}}{2}
Multiply -4 times -15025.
y=\frac{0±10\sqrt{601}}{2}
Take the square root of 60100.
y=5\sqrt{601}
Now solve the equation y=\frac{0±10\sqrt{601}}{2} when ± is plus.
y=-5\sqrt{601}
Now solve the equation y=\frac{0±10\sqrt{601}}{2} when ± is minus.
y=5\sqrt{601} y=-5\sqrt{601}
The equation is now solved.
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