x^2-112x-480=0

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Solution for x^2-112x-480=0 equation:



x^2-112x-480=0
a = 1; b = -112; c = -480;
Δ = b2-4ac
Δ = -1122-4·1·(-480)
Δ = 14464
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{14464}=\sqrt{64*226}=\sqrt{64}*\sqrt{226}=8\sqrt{226}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-112)-8\sqrt{226}}{2*1}=\frac{112-8\sqrt{226}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-112)+8\sqrt{226}}{2*1}=\frac{112+8\sqrt{226}}{2} $

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