4x^2+4+13x=0

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Solution for 4x^2+4+13x=0 equation:



4x^2+4+13x=0
a = 4; b = 13; c = +4;
Δ = b2-4ac
Δ = 132-4·4·4
Δ = 105
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(13)-\sqrt{105}}{2*4}=\frac{-13-\sqrt{105}}{8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+\sqrt{105}}{2*4}=\frac{-13+\sqrt{105}}{8} $

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