20/p=5.p=

Solution for 20/p=5.p= equation:

20/p=5.p=

We move all terms to the left:

20/p-(5.p)=0


Domain of the equation: p!=0

p∈R


We add all the numbers together, and all the variables

20/p-(+5.p)=0

We get rid of parentheses

20/p-5.p=0

We multiply all the terms by the denominator


-(5.p)*p+20=0

We add all the numbers together, and all the variables

-(+5.p)*p+20=0

We multiply parentheses

-5p^2+20=0

a = -5; b = 0; c = +20;
Δ = b2-4ac
Δ = 02-4·(-5)·20
Δ = 400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{400}=20$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20}{2*-5}=\frac{-20}{-10}
=+2
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20}{2*-5}=\frac{20}{-10}
=-2
$