3+13x-4x^2=0

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Solution for 3+13x-4x^2=0 equation:



3+13x-4x^2=0
a = -4; b = 13; c = +3;
Δ = b2-4ac
Δ = 132-4·(-4)·3
Δ = 217
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{217}}{2*-4}=\frac{-13-\sqrt{217}}{-8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+\sqrt{217}}{2*-4}=\frac{-13+\sqrt{217}}{-8} $

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