F(x)=-3/5x-17

Solution for F(x)=-3/5x-17 equation:

(F)=-3/5F-17

We move all terms to the left:

(F)-(-3/5F-17)=0


Domain of the equation: 5F-17)!=0

F∈R


We get rid of parentheses

F+3/5F+17=0

We multiply all the terms by the denominator


F*5F+17*5F+3=0

Wy multiply elements

5F^2+85F+3=0

a = 5; b = 85; c = +3;
Δ = b2-4ac
Δ = 852-4·5·3
Δ = 7165
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(85)-\sqrt{7165}}{2*5}=\frac{-85-\sqrt{7165}}{10}
$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(85)+\sqrt{7165}}{2*5}=\frac{-85+\sqrt{7165}}{10}
$