2x^2-3x-39=0

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Solution for 2x^2-3x-39=0 equation:



2x^2-3x-39=0
a = 2; b = -3; c = -39;
Δ = b2-4ac
Δ = -32-4·2·(-39)
Δ = 321
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{321}}{2*2}=\frac{3-\sqrt{321}}{4} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{321}}{2*2}=\frac{3+\sqrt{321}}{4} $

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