x^2-53x=0

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



x^2-53x=0

a = 1; b = -53; c = 0;
Δ = b2-4ac
Δ = -532-4·1·0
Δ = 2809
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2809}=53$


$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-53)-53}{2*1}=\frac{0}{2}
=0
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-53)+53}{2*1}=\frac{106}{2}
=53
$

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