2n2-13n-70=0

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Solution for 2n2-13n-70=0 equation:



2n^2-13n-70=0
a = 2; b = -13; c = -70;
Δ = b2-4ac
Δ = -132-4·2·(-70)
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{-(-13)-27}{2*2}=\frac{-14}{4} =-3+1/2 $
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13)+27}{2*2}=\frac{40}{4} =10 $

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