7a^2+3a-2=0

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Solution for 7a^2+3a-2=0 equation: 



7a^2+3a-2=0

a = 7; b = 3; c = -2;
Δ = b2-4ac
Δ = 32-4·7·(-2)
Δ = 65
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-\sqrt{65}}{2*7}=\frac{-3-\sqrt{65}}{14}
$


$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{65}}{2*7}=\frac{-3+\sqrt{65}}{14}
$

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