7x-8/13x+1=0

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Solution for 7x-8/13x+1=0 equation: 



7x-8/13x+1=0



Domain of the equation: 13x!=0

x!=0/13

x!=0

x∈R



We multiply all the terms by the denominator


7x*13x+1*13x-8=0

Wy multiply elements

91x^2+13x-8=0

a = 91; b = 13; c = -8;
Δ = b2-4ac
Δ = 132-4·91·(-8)
Δ = 3081
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{-(13)-\sqrt{3081}}{2*91}=\frac{-13-\sqrt{3081}}{182}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+\sqrt{3081}}{2*91}=\frac{-13+\sqrt{3081}}{182}
$

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