4n^2-116n+720=0

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Solution for 4n^2-116n+720=0 equation:



4n^2-116n+720=0
a = 4; b = -116; c = +720;
Δ = b2-4ac
Δ = -1162-4·4·720
Δ = 1936
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1936}=44$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-116)-44}{2*4}=\frac{72}{8} =9 $
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-116)+44}{2*4}=\frac{160}{8} =20 $

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