(50x)(1/x)=50

Solution for (50x)(1/x)=50 equation:

(50x)(1/x)=50

We move all terms to the left:

(50x)(1/x)-(50)=0


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

50x(+1/x)-50=0

We multiply parentheses

50x^2-50=0

a = 50; b = 0; c = -50;
Δ = b2-4ac
Δ = 02-4·50·(-50)
Δ = 10000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10000}=100$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-100}{2*50}=\frac{-100}{100}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+100}{2*50}=\frac{100}{100}
=1
$