z^2+9z+7=0

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Solution for z^2+9z+7=0 equation: 



z^2+9z+7=0

a = 1; b = 9; c = +7;
Δ = b2-4ac
Δ = 92-4·1·7
Δ = 53
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{53}}{2*1}=\frac{-9-\sqrt{53}}{2}
$


$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{53}}{2*1}=\frac{-9+\sqrt{53}}{2}
$

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