5b+14/b=17

Solution for 5b+14/b=17 equation:

5b+14/b=17

We move all terms to the left:

5b+14/b-(17)=0


Domain of the equation: b!=0

b∈R


We multiply all the terms by the denominator


5b*b-17*b+14=0

We add all the numbers together, and all the variables

-17b+5b*b+14=0

Wy multiply elements

5b^2-17b+14=0

a = 5; b = -17; c = +14;
Δ = b2-4ac
Δ = -172-4·5·14
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-17)-3}{2*5}=\frac{14}{10}
=1+2/5
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+3}{2*5}=\frac{20}{10}
=2
$