3n2+8n-115=0

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Solution for 3n2+8n-115=0 equation:



3n^2+8n-115=0
a = 3; b = 8; c = -115;
Δ = b2-4ac
Δ = 82-4·3·(-115)
Δ = 1444
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1444}=38$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-38}{2*3}=\frac{-46}{6} =-7+2/3 $
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+38}{2*3}=\frac{30}{6} =5 $

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