16n^2-36n=0

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Solution for 16n^2-36n=0 equation:



16n^2-36n=0
a = 16; b = -36; c = 0;
Δ = b2-4ac
Δ = -362-4·16·0
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-36}{2*16}=\frac{0}{32} =0 $
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+36}{2*16}=\frac{72}{32} =2+1/4 $

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