175/p=p

Solution for 175/p=p equation:

175/p=p

We move all terms to the left:

175/p-(p)=0


Domain of the equation: p!=0

p∈R


We add all the numbers together, and all the variables

-1p+175/p=0

We multiply all the terms by the denominator


-1p*p+175=0

Wy multiply elements

-1p^2+175=0

a = -1; b = 0; c = +175;
Δ = b2-4ac
Δ = 02-4·(-1)·175
Δ = 700
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:

$\sqrt{\Delta}=\sqrt{700}=\sqrt{100*7}=\sqrt{100}*\sqrt{7}=10\sqrt{7}$
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{7}}{2*-1}=\frac{0-10\sqrt{7}}{-2}
=-\frac{10\sqrt{7}}{-2}
=-\frac{5\sqrt{7}}{-1}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{7}}{2*-1}=\frac{0+10\sqrt{7}}{-2}
=\frac{10\sqrt{7}}{-2}
=\frac{5\sqrt{7}}{-1}
$