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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!=0We calculate fractions
a!=0/7
a!=0
a∈R
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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