14.50x=17.25/x

Solution for 14.50x=17.25/x equation:

14.50x=17.25/x

We move all terms to the left:

14.50x-(17.25/x)=0


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

14.50x-(+17.25/x)=0

We get rid of parentheses

14.50x-17.25/x=0

We multiply all the terms by the denominator


(14.50x)*x-17.25=0

We add all the numbers together, and all the variables

(+14.50x)*x-17.25=0

We multiply parentheses

14x^2-17.25=0

a = 14; b = 0; c = -17.25;
Δ = b2-4ac
Δ = 02-4·14·(-17.25)
Δ = 966
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{966}}{2*14}=\frac{0-\sqrt{966}}{28}
=-\frac{\sqrt{}}{28}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{966}}{2*14}=\frac{0+\sqrt{966}}{28}
=\frac{\sqrt{}}{28}
$