8n^2+17n+2=0

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Solution for 8n^2+17n+2=0 equation: 



8n^2+17n+2=0

a = 8; b = 17; c = +2;
Δ = b2-4ac
Δ = 172-4·8·2
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$


$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-15}{2*8}=\frac{-32}{16}
=-2
$


$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+15}{2*8}=\frac{-2}{16}
=-1/8
$

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