n^2+7n-170=0

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Solution for n^2+7n-170=0 equation: 



n^2+7n-170=0

a = 1; b = 7; c = -170;
Δ = b2-4ac
Δ = 72-4·1·(-170)
Δ = 729
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{729}=27$


$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-27}{2*1}=\frac{-34}{2}
=-17
$


$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+27}{2*1}=\frac{20}{2}
=10
$

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