F(x)=(60000)/(1+0.3x+0.1x^2)

Solution for F(x)=(60000)/(1+0.3x+0.1x^2) equation:

(F)=(60000)/(1+0.3F+0.1F^2)

We move all terms to the left:

(F)-((60000)/(1+0.3F+0.1F^2))=0


Domain of the equation: (1+0.3F+0.1F^2))!=0

We move all terms containing F to the left, all other terms to the right

0.1F^2)+0.3F!=-1

F∈R


We multiply all the terms by the denominator


-(60000+F*(1+0.3F+0.1F^2))=0


We calculate terms in parentheses: -(60000+F*(1+0.3F+0.1F^2)), so:

60000+F*(1+0.3F+0.1F^2)

determiningTheFunctionDomain
F*(1+0.3F+0.1F^2)+60000

We multiply parentheses

0F^2+0F^2+F+60000

We add all the numbers together, and all the variables

2F^2+F+60000

Back to the equation:

-(2F^2+F+60000)


We get rid of parentheses

-2F^2-F-60000=0

We add all the numbers together, and all the variables

-2F^2-1F-60000=0

a = -2; b = -1; c = -60000;
Δ = b2-4ac
Δ = -12-4·(-2)·(-60000)
Δ = -479999
Delta is less than zero, so there is no solution for the equation