5x^2+90x=0

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Solution for 5x^2+90x=0 equation:



5x^2+90x=0
a = 5; b = 90; c = 0;
Δ = b2-4ac
Δ = 902-4·5·0
Δ = 8100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8100}=90$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(90)-90}{2*5}=\frac{-180}{10} =-18 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(90)+90}{2*5}=\frac{0}{10} =0 $

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