p+(6/p)=-7

Solution for p+(6/p)=-7 equation:

p+(6/p)=-7

We move all terms to the left:

p+(6/p)-(-7)=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+(+6/p)-(-7)=0

We add all the numbers together, and all the variables

p+(+6/p)+7=0

We get rid of parentheses

p+6/p+7=0

We multiply all the terms by the denominator


p*p+7*p+6=0

We add all the numbers together, and all the variables

7p+p*p+6=0

Wy multiply elements

p^2+7p+6=0

a = 1; b = 7; c = +6;
Δ = b2-4ac
Δ = 72-4·1·6
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-5}{2*1}=\frac{-12}{2}
=-6
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+5}{2*1}=\frac{-2}{2}
=-1
$