20x^2=28x

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Solution for 20x^2=28x equation:



20x^2=28x
We move all terms to the left:
20x^2-(28x)=0
a = 20; b = -28; c = 0;
Δ = b2-4ac
Δ = -282-4·20·0
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-28)-28}{2*20}=\frac{0}{40} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-28)+28}{2*20}=\frac{56}{40} =1+2/5 $

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