2z^2-11z+7=0

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Solution for 2z^2-11z+7=0 equation: 



2z^2-11z+7=0

a = 2; b = -11; c = +7;
Δ = b2-4ac
Δ = -112-4·2·7
Δ = 65
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{-(-11)-\sqrt{65}}{2*2}=\frac{11-\sqrt{65}}{4}
$


$z_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+\sqrt{65}}{2*2}=\frac{11+\sqrt{65}}{4}
$

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