3e=3/4e=

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Solution for 3e=3/4e= equation:



3e=3/4e=
We move all terms to the left:
3e-(3/4e)=0
Domain of the equation: 4e)!=0
e!=0/1
e!=0
e∈R
We add all the numbers together, and all the variables
3e-(+3/4e)=0
We get rid of parentheses
3e-3/4e=0
We multiply all the terms by the denominator
3e*4e-3=0
Wy multiply elements
12e^2-3=0
a = 12; b = 0; c = -3;
Δ = b2-4ac
Δ = 02-4·12·(-3)
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$e_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$e_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$e_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12}{2*12}=\frac{-12}{24} =-1/2 $
$e_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12}{2*12}=\frac{12}{24} =1/2 $

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