p+2/p=7=3/6

Solution for p+2/p=7=3/6 equation:

p+2/p=7=3/6

We move all terms to the left:

p+2/p-(7)=0


Domain of the equation: p!=0

p∈R


We multiply all the terms by the denominator


p*p-7*p+2=0

We add all the numbers together, and all the variables

-7p+p*p+2=0

Wy multiply elements

p^2-7p+2=0

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