2n^2+11n+4=0

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Solution for 2n^2+11n+4=0 equation: 



2n^2+11n+4=0

a = 2; b = 11; c = +4;
Δ = b2-4ac
Δ = 112-4·2·4
Δ = 89
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-\sqrt{89}}{2*2}=\frac{-11-\sqrt{89}}{4}
$


$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+\sqrt{89}}{2*2}=\frac{-11+\sqrt{89}}{4}
$

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