20x^2=8x

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Solution for 20x^2=8x equation:



20x^2=8x
We move all terms to the left:
20x^2-(8x)=0
a = 20; b = -8; c = 0;
Δ = b2-4ac
Δ = -82-4·20·0
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-8}{2*20}=\frac{0}{40} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+8}{2*20}=\frac{16}{40} =2/5 $

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