10n^2-11n=0

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Solution for 10n^2-11n=0 equation:



10n^2-11n=0
a = 10; b = -11; c = 0;
Δ = b2-4ac
Δ = -112-4·10·0
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-11}{2*10}=\frac{0}{20} =0 $
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+11}{2*10}=\frac{22}{20} =1+1/10 $

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