4x^2+76x=0

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Solution for 4x^2+76x=0 equation:



4x^2+76x=0
a = 4; b = 76; c = 0;
Δ = b2-4ac
Δ = 762-4·4·0
Δ = 5776
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5776}=76$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(76)-76}{2*4}=\frac{-152}{8} =-19 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(76)+76}{2*4}=\frac{0}{8} =0 $

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