2n^2+7n-77=0

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Solution for 2n^2+7n-77=0 equation:



2n^2+7n-77=0
a = 2; b = 7; c = -77;
Δ = b2-4ac
Δ = 72-4·2·(-77)
Δ = 665
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{-(7)-\sqrt{665}}{2*2}=\frac{-7-\sqrt{665}}{4} $
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{665}}{2*2}=\frac{-7+\sqrt{665}}{4} $

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