p+7/p=48/p-7

Solution for p+7/p=48/p-7 equation:

p+7/p=48/p-7

We move all terms to the left:

p+7/p-(48/p-7)=0


Domain of the equation: p!=0

p∈R



Domain of the equation: p-7)!=0

p∈R


We get rid of parentheses

p+7/p-48/p+7=0

We multiply all the terms by the denominator


p*p+7*p+7-48=0

We add all the numbers together, and all the variables

7p+p*p-41=0

Wy multiply elements

p^2+7p-41=0

a = 1; b = 7; c = -41;
Δ = b2-4ac
Δ = 72-4·1·(-41)
Δ = 213
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{-(7)-\sqrt{213}}{2*1}=\frac{-7-\sqrt{213}}{2}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{213}}{2*1}=\frac{-7+\sqrt{213}}{2}
$