F(x)=4/3X-7

Solution for F(x)=4/3X-7 equation:

(F)=4/3F-7

We move all terms to the left:

(F)-(4/3F-7)=0


Domain of the equation: 3F-7)!=0

F∈R


We get rid of parentheses

F-4/3F+7=0

We multiply all the terms by the denominator


F*3F+7*3F-4=0

Wy multiply elements

3F^2+21F-4=0

a = 3; b = 21; c = -4;
Δ = b2-4ac
Δ = 212-4·3·(-4)
Δ = 489
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{-(21)-\sqrt{489}}{2*3}=\frac{-21-\sqrt{489}}{6}
$
$F_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(21)+\sqrt{489}}{2*3}=\frac{-21+\sqrt{489}}{6}
$