4x^2+300x=0

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Solution for 4x^2+300x=0 equation:



4x^2+300x=0
a = 4; b = 300; c = 0;
Δ = b2-4ac
Δ = 3002-4·4·0
Δ = 90000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{90000}=300$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(300)-300}{2*4}=\frac{-600}{8} =-75 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(300)+300}{2*4}=\frac{0}{8} =0 $

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