8/a+3/7a=2

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Solution for 8/a+3/7a=2 equation:



8/a+3/7a=2
We move all terms to the left:
8/a+3/7a-(2)=0
Domain of the equation: a!=0
a∈R
Domain of the equation: 7a!=0
a!=0/7
a!=0
a∈R
We calculate fractions
56a/7a^2+3a/7a^2-2=0
We multiply all the terms by the denominator
56a+3a-2*7a^2=0
We add all the numbers together, and all the variables
59a-2*7a^2=0
Wy multiply elements
-14a^2+59a=0
a = -14; b = 59; c = 0;
Δ = b2-4ac
Δ = 592-4·(-14)·0
Δ = 3481
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3481}=59$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(59)-59}{2*-14}=\frac{-118}{-28} =4+3/14 $
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(59)+59}{2*-14}=\frac{0}{-28} =0 $

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