8n^2-57n-56=0

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Solution for 8n^2-57n-56=0 equation:



8n^2-57n-56=0
a = 8; b = -57; c = -56;
Δ = b2-4ac
Δ = -572-4·8·(-56)
Δ = 5041
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5041}=71$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-57)-71}{2*8}=\frac{-14}{16} =-7/8 $
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-57)+71}{2*8}=\frac{128}{16} =8 $

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