9n^2+41n=0

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Solution for 9n^2+41n=0 equation:



9n^2+41n=0
a = 9; b = 41; c = 0;
Δ = b2-4ac
Δ = 412-4·9·0
Δ = 1681
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1681}=41$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(41)-41}{2*9}=\frac{-82}{18} =-4+5/9 $
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(41)+41}{2*9}=\frac{0}{18} =0 $

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