165x+5x^2=0

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Solution for 165x+5x^2=0 equation:



165x+5x^2=0
a = 5; b = 165; c = 0;
Δ = b2-4ac
Δ = 1652-4·5·0
Δ = 27225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{27225}=165$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(165)-165}{2*5}=\frac{-330}{10} =-33 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(165)+165}{2*5}=\frac{0}{10} =0 $

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