4x^2+4x-728=0

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Solution for 4x^2+4x-728=0 equation:



4x^2+4x-728=0
a = 4; b = 4; c = -728;
Δ = b2-4ac
Δ = 42-4·4·(-728)
Δ = 11664
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11664}=108$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-108}{2*4}=\frac{-112}{8} =-14 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+108}{2*4}=\frac{104}{8} =13 $

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