2c^2+9c-4=0

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Solution for 2c^2+9c-4=0 equation:



2c^2+9c-4=0
a = 2; b = 9; c = -4;
Δ = b2-4ac
Δ = 92-4·2·(-4)
Δ = 113
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-\sqrt{113}}{2*2}=\frac{-9-\sqrt{113}}{4} $
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{113}}{2*2}=\frac{-9+\sqrt{113}}{4} $

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