13z2+9z=0

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Solution for 13z2+9z=0 equation: 



13z^2+9z=0

a = 13; b = 9; c = 0;
Δ = b2-4ac
Δ = 92-4·13·0
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$


$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-9}{2*13}=\frac{-18}{26}
=-9/13
$


$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+9}{2*13}=\frac{0}{26}
=0
$

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