2c^2+5c-2=0

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Solution for 2c^2+5c-2=0 equation:



2c^2+5c-2=0
a = 2; b = 5; c = -2;
Δ = b2-4ac
Δ = 52-4·2·(-2)
Δ = 41
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{-(5)-\sqrt{41}}{2*2}=\frac{-5-\sqrt{41}}{4} $
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{41}}{2*2}=\frac{-5+\sqrt{41}}{4} $

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