20=4e^2

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Solution for 20=4e^2 equation:



20=4e^2
We move all terms to the left:
20-(4e^2)=0
a = -4; b = 0; c = +20;
Δ = b2-4ac
Δ = 02-4·(-4)·20
Δ = 320
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$e_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$e_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{320}=\sqrt{64*5}=\sqrt{64}*\sqrt{5}=8\sqrt{5}$
$e_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{5}}{2*-4}=\frac{0-8\sqrt{5}}{-8} =-\frac{8\sqrt{5}}{-8} =-\frac{\sqrt{5}}{-1} $
$e_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{5}}{2*-4}=\frac{0+8\sqrt{5}}{-8} =\frac{8\sqrt{5}}{-8} =\frac{\sqrt{5}}{-1} $

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