17b-4.75/5b-10=9.6

Solution for 17b-4.75/5b-10=9.6 equation:

17b-4.75/5b-10=9.6

We move all terms to the left:

17b-4.75/5b-10-(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-19.6=0

We multiply all the terms by the denominator


17b*5b-(19.6)*5b-4.75=0

We multiply parentheses

17b*5b-98b-4.75=0

Wy multiply elements

85b^2-98b-4.75=0

a = 85; b = -98; c = -4.75;
Δ = b2-4ac
Δ = -982-4·85·(-4.75)
Δ = 11219
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{-(-98)-\sqrt{11219}}{2*85}=\frac{98-\sqrt{11219}}{170}
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-98)+\sqrt{11219}}{2*85}=\frac{98+\sqrt{11219}}{170}
$