F(x)=10000/x

Solution for F(x)=10000/x equation:

(F)=10000/F

We move all terms to the left:

(F)-(10000/F)=0


Domain of the equation: F)!=0

F!=0/1

F!=0

F∈R


We add all the numbers together, and all the variables

F-(+10000/F)=0

We get rid of parentheses

F-10000/F=0

We multiply all the terms by the denominator


F*F-10000=0

Wy multiply elements

F^2-10000=0

a = 1; b = 0; c = -10000;
Δ = b2-4ac
Δ = 02-4·1·(-10000)
Δ = 40000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{40000}=200$
$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-200}{2*1}=\frac{-200}{2}
=-100
$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+200}{2*1}=\frac{200}{2}
=100
$