13x+2/7x-1=8

Solution for 13x+2/7x-1=8 equation:

13x+2/7x-1=8

We move all terms to the left:

13x+2/7x-1-(8)=0


Domain of the equation: 7x!=0

x!=0/7

x!=0

x∈R


We add all the numbers together, and all the variables

13x+2/7x-9=0

We multiply all the terms by the denominator


13x*7x-9*7x+2=0

Wy multiply elements

91x^2-63x+2=0

a = 91; b = -63; c = +2;
Δ = b2-4ac
Δ = -632-4·91·2
Δ = 3241
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-63)-\sqrt{3241}}{2*91}=\frac{63-\sqrt{3241}}{182}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-63)+\sqrt{3241}}{2*91}=\frac{63+\sqrt{3241}}{182}
$