2X^2+11x-14=0

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Solution for 2X^2+11x-14=0 equation: 



2X^2+11X-14=0

a = 2; b = 11; c = -14;
Δ = b2-4ac
Δ = 112-4·2·(-14)
Δ = 233
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{-(11)-\sqrt{233}}{2*2}=\frac{-11-\sqrt{233}}{4}
$


$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+\sqrt{233}}{2*2}=\frac{-11+\sqrt{233}}{4}
$

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