4z2+9z+4=0

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Solution for 4z2+9z+4=0 equation: 



4z^2+9z+4=0

a = 4; b = 9; c = +4;
Δ = b2-4ac
Δ = 92-4·4·4
Δ = 17
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{-(9)-\sqrt{17}}{2*4}=\frac{-9-\sqrt{17}}{8}
$


$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{17}}{2*4}=\frac{-9+\sqrt{17}}{8}
$

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