1/2p=87p=

Solution for 1/2p=87p= equation:

1/2p=87p=

We move all terms to the left:

1/2p-(87p)=0


Domain of the equation: 2p!=0

p!=0/2

p!=0

p∈R


We add all the numbers together, and all the variables

-87p+1/2p=0

We multiply all the terms by the denominator


-87p*2p+1=0

Wy multiply elements

-174p^2+1=0

a = -174; b = 0; c = +1;
Δ = b2-4ac
Δ = 02-4·(-174)·1
Δ = 696
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{696}=\sqrt{4*174}=\sqrt{4}*\sqrt{174}=2\sqrt{174}$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{174}}{2*-174}=\frac{0-2\sqrt{174}}{-348}
=-\frac{2\sqrt{174}}{-348}
=-\frac{\sqrt{174}}{-174}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{174}}{2*-174}=\frac{0+2\sqrt{174}}{-348}
=\frac{2\sqrt{174}}{-348}
=\frac{\sqrt{174}}{-174}
$