p+4/p-4=13

Solution for p+4/p-4=13 equation:

p+4/p-4=13

We move all terms to the left:

p+4/p-4-(13)=0


Domain of the equation: p!=0

p∈R


We add all the numbers together, and all the variables

p+4/p-17=0

We multiply all the terms by the denominator


p*p-17*p+4=0

We add all the numbers together, and all the variables

-17p+p*p+4=0

Wy multiply elements

p^2-17p+4=0

a = 1; b = -17; c = +4;
Δ = b2-4ac
Δ = -172-4·1·4
Δ = 273
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{-(-17)-\sqrt{273}}{2*1}=\frac{17-\sqrt{273}}{2}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+\sqrt{273}}{2*1}=\frac{17+\sqrt{273}}{2}
$