2z2+3z-8=0

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Solution for 2z2+3z-8=0 equation: 



2z^2+3z-8=0

a = 2; b = 3; c = -8;
Δ = b2-4ac
Δ = 32-4·2·(-8)
Δ = 73
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-\sqrt{73}}{2*2}=\frac{-3-\sqrt{73}}{4}
$


$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{73}}{2*2}=\frac{-3+\sqrt{73}}{4}
$

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