Solve for x
x=11422813965470568280838557774345622519808000000000\sqrt{548506167006817226845}\approx 2.675246849 \cdot 10^{59}
x=-11422813965470568280838557774345622519808000000000\sqrt{548506167006817226845}\approx -2.675246849 \cdot 10^{59}
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71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000=x^{2}
The factorial of 80 is 71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000.
x^{2}=71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000
Swap sides so that all variable terms are on the left hand side.
x=11422813965470568280838557774345622519808000000000\sqrt{548506167006817226845} x=-11422813965470568280838557774345622519808000000000\sqrt{548506167006817226845}
Take the square root of both sides of the equation.
71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000=x^{2}
The factorial of 80 is 71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000.
x^{2}=71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000
Swap sides so that all variable terms are on the left hand side.
x^{2}-71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000=0
Subtract 71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000 from both sides.
x=\frac{0±\sqrt{0^{2}-4\left(-71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000\right)}}{2}
This equation is in standard form: ax^{2}+bx+c=0. Substitute 1 for a, 0 for b, and -71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000 for c in the quadratic formula, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
x=\frac{0±\sqrt{-4\left(-71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000\right)}}{2}
Square 0.
x=\frac{0±\sqrt{286277828185055209179246134892746128662338629369463010308437780232908157021920595370675779469123256320000000000000000000}}{2}
Multiply -4 times -71569457046263802294811533723186532165584657342365752577109445058227039255480148842668944867280814080000000000000000000.
x=\frac{0±22845627930941136561677115548691245039616000000000\sqrt{548506167006817226845}}{2}
Take the square root of 286277828185055209179246134892746128662338629369463010308437780232908157021920595370675779469123256320000000000000000000.
x=11422813965470568280838557774345622519808000000000\sqrt{548506167006817226845}
Now solve the equation x=\frac{0±22845627930941136561677115548691245039616000000000\sqrt{548506167006817226845}}{2} when ± is plus.
x=-11422813965470568280838557774345622519808000000000\sqrt{548506167006817226845}
Now solve the equation x=\frac{0±22845627930941136561677115548691245039616000000000\sqrt{548506167006817226845}}{2} when ± is minus.
x=11422813965470568280838557774345622519808000000000\sqrt{548506167006817226845} x=-11422813965470568280838557774345622519808000000000\sqrt{548506167006817226845}
The equation is now solved.
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Integration
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Limits
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