6-3x-2x^2=0

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Solution for 6-3x-2x^2=0 equation: 



6-3x-2x^2=0

a = -2; b = -3; c = +6;
Δ = b2-4ac
Δ = -32-4·(-2)·6
Δ = 57
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{-(-3)-\sqrt{57}}{2*-2}=\frac{3-\sqrt{57}}{-4}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{57}}{2*-2}=\frac{3+\sqrt{57}}{-4}
$

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