50=300/x2

Solution for 50=300/x2 equation:

50=300/x2

We move all terms to the left:

50-(300/x2)=0


Domain of the equation: x2)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-(+300/x2)+50=0

We get rid of parentheses

-300/x2+50=0

We multiply all the terms by the denominator


50*x2-300=0

We add all the numbers together, and all the variables

50x^2-300=0

a = 50; b = 0; c = -300;
Δ = b2-4ac
Δ = 02-4·50·(-300)
Δ = 60000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{60000}=\sqrt{10000*6}=\sqrt{10000}*\sqrt{6}=100\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-100\sqrt{6}}{2*50}=\frac{0-100\sqrt{6}}{100}
=-\frac{100\sqrt{6}}{100}
=-\sqrt{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+100\sqrt{6}}{2*50}=\frac{0+100\sqrt{6}}{100}
=\frac{100\sqrt{6}}{100}
=\sqrt{6}
$