P(n)=3/n-1.2

Solution for P(n)=3/n-1.2 equation:

(P)=3/P-1.2

We move all terms to the left:

(P)-(3/P-1.2)=0


Domain of the equation: P-1.2)!=0

P∈R


We get rid of parentheses

P-3/P+1.2=0

We multiply all the terms by the denominator


P*P+(1.2)*P-3=0

We multiply parentheses

P*P+1.2P-3=0

Wy multiply elements

P^2+1.2P-3=0

a = 1; b = 1.2; c = -3;
Δ = b2-4ac
Δ = 1.22-4·1·(-3)
Δ = 13.44
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$P_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$P_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$P_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1.2)-\sqrt{13.44}}{2*1}=\frac{-1.2-\sqrt{13.44}}{2}
$
$P_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.2)+\sqrt{13.44}}{2*1}=\frac{-1.2+\sqrt{13.44}}{2}
$