9z2+9z+2=0

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Solution for 9z2+9z+2=0 equation:



9z^2+9z+2=0
a = 9; b = 9; c = +2;
Δ = b2-4ac
Δ = 92-4·9·2
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$z_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-3}{2*9}=\frac{-12}{18} =-2/3 $
$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+3}{2*9}=\frac{-6}{18} =-1/3 $

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