x^2-53x+576=0

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Solution for x^2-53x+576=0 equation:



x^2-53x+576=0
a = 1; b = -53; c = +576;
Δ = b2-4ac
Δ = -532-4·1·576
Δ = 505
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-53)-\sqrt{505}}{2*1}=\frac{53-\sqrt{505}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-53)+\sqrt{505}}{2*1}=\frac{53+\sqrt{505}}{2} $

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