P=x-4/x

Solution for P=x-4/x equation:

=P-4/P

We move all terms to the left:

-(P-4/P)=0


Domain of the equation: P)!=0

P!=0/1

P!=0

P∈R


We add all the numbers together, and all the variables

-(+P-4/P)=0

We get rid of parentheses

-P+4/P=0

We multiply all the terms by the denominator


-P*P+4=0

Wy multiply elements

-1P^2+4=0

a = -1; b = 0; c = +4;
Δ = b2-4ac
Δ = 02-4·(-1)·4
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$P_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$P_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$P_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4}{2*-1}=\frac{-4}{-2}
=+2
$
$P_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4}{2*-1}=\frac{4}{-2}
=-2
$