3p-2/p+7=0

Solution for 3p-2/p+7=0 equation:

3p-2/p+7=0


Domain of the equation: p!=0

p∈R


We multiply all the terms by the denominator


3p*p+7*p-2=0

We add all the numbers together, and all the variables

7p+3p*p-2=0

Wy multiply elements

3p^2+7p-2=0

a = 3; b = 7; c = -2;
Δ = b2-4ac
Δ = 72-4·3·(-2)
Δ = 73
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{73}}{2*3}=\frac{-7-\sqrt{73}}{6}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{73}}{2*3}=\frac{-7+\sqrt{73}}{6}
$