Answer:
Step-by-step explanation:(F)=1/F+6
We move all terms to the left:
(F)-(1/F+6)=0
Domain of the equation: F+6)!=0
F∈R
We get rid of parentheses
F-1/F-6=0
We multiply all the terms by the denominator
F*F-6*F-1=0
We add all the numbers together, and all the variables
-6F+F*F-1=0
Wy multiply elements
F^2-6F-1=0
a = 1; b = -6; c = -1;
Δ = b2-4ac
Δ = -62-4·1·(-1)
Δ = 40
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
F1=−b−Δ√2aF2=−b+Δ√2a
The end solution:
Δ‾‾√=40‾‾‾√=4∗10‾‾‾‾‾‾√=4√∗10‾‾‾√=210‾‾‾√
F1=−b−Δ√2a=−(−6)−210√2∗1=6−210√2
F2=−b+Δ√2a=−(−6)+210√2∗1=6+210√2