13x^2+5x=0

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Solution for 13x^2+5x=0 equation: 



13x^2+5x=0

a = 13; b = 5; c = 0;
Δ = b2-4ac
Δ = 52-4·13·0
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$


$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-5}{2*13}=\frac{-10}{26}
=-5/13
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+5}{2*13}=\frac{0}{26}
=0
$

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