16n2+82n+10=0

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Solution for 16n2+82n+10=0 equation:



16n^2+82n+10=0
a = 16; b = 82; c = +10;
Δ = b2-4ac
Δ = 822-4·16·10
Δ = 6084
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6084}=78$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(82)-78}{2*16}=\frac{-160}{32} =-5 $
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(82)+78}{2*16}=\frac{-4}{32} =-1/8 $

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