4n^2-18n=0

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Solution for 4n^2-18n=0 equation:



4n^2-18n=0
a = 4; b = -18; c = 0;
Δ = b2-4ac
Δ = -182-4·4·0
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-18}{2*4}=\frac{0}{8} =0 $
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+18}{2*4}=\frac{36}{8} =4+1/2 $

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