F(x)=7-3x/2x

Solution for F(x)=7-3x/2x equation:

(F)=7-3F/2F

We move all terms to the left:

(F)-(7-3F/2F)=0


Domain of the equation: 2F)!=0

F!=0/1

F!=0

F∈R


We add all the numbers together, and all the variables

F-(-3F/2F+7)=0

We get rid of parentheses

F+3F/2F-7=0

We multiply all the terms by the denominator


F*2F+3F-7*2F=0

We add all the numbers together, and all the variables

3F+F*2F-7*2F=0

Wy multiply elements

2F^2+3F-14F=0

We add all the numbers together, and all the variables

2F^2-11F=0

a = 2; b = -11; c = 0;
Δ = b2-4ac
Δ = -112-4·2·0
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$F_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-11}{2*2}=\frac{0}{4}
=0
$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+11}{2*2}=\frac{22}{4}
=5+1/2
$