(3x^2)+5x-6=0

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Solution for (3x^2)+5x-6=0 equation: 



(3x^2)+5x-6=0

a = 3; b = 5; c = -6;
Δ = b2-4ac
Δ = 52-4·3·(-6)
Δ = 97
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{-(5)-\sqrt{97}}{2*3}=\frac{-5-\sqrt{97}}{6}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{97}}{2*3}=\frac{-5+\sqrt{97}}{6}
$

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