3z+4z^2-3=0

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Solution for 3z+4z^2-3=0 equation: 



3z+4z^2-3=0

a = 4; b = 3; c = -3;
Δ = b2-4ac
Δ = 32-4·4·(-3)
Δ = 57
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{57}}{2*4}=\frac{-3-\sqrt{57}}{8}
$


$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{57}}{2*4}=\frac{-3+\sqrt{57}}{8}
$

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