10y^2-18y=0

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Solution for 10y^2-18y=0 equation:



10y^2-18y=0
a = 10; b = -18; c = 0;
Δ = b2-4ac
Δ = -182-4·10·0
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-18}{2*10}=\frac{0}{20} =0 $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+18}{2*10}=\frac{36}{20} =1+4/5 $

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