17b+4.75/5b-2=9.6

Solution for 17b+4.75/5b-2=9.6 equation:

17b+4.75/5b-2=9.6

We move all terms to the left:

17b+4.75/5b-2-(9.6)=0


Domain of the equation: 5b!=0

b!=0/5

b!=0

b∈R


We add all the numbers together, and all the variables

17b+4.75/5b-11.6=0

We multiply all the terms by the denominator


17b*5b-(11.6)*5b+4.75=0

We multiply parentheses

17b*5b-58b+4.75=0

Wy multiply elements

85b^2-58b+4.75=0

a = 85; b = -58; c = +4.75;
Δ = b2-4ac
Δ = -582-4·85·4.75
Δ = 1749
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-58)-\sqrt{1749}}{2*85}=\frac{58-\sqrt{1749}}{170}
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-58)+\sqrt{1749}}{2*85}=\frac{58+\sqrt{1749}}{170}
$