8/a+3/7a=2

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
$