2.17x=60.45/x

Solution for 2.17x=60.45/x equation:

2.17x=60.45/x

We move all terms to the left:

2.17x-(60.45/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

2.17x-(+60.45/x)=0

We get rid of parentheses

2.17x-60.45/x=0

We multiply all the terms by the denominator


(2.17x)*x-60.45=0

We add all the numbers together, and all the variables

(+2.17x)*x-60.45=0

We multiply parentheses

2x^2-60.45=0

a = 2; b = 0; c = -60.45;
Δ = b2-4ac
Δ = 02-4·2·(-60.45)
Δ = 483.6
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{483.6}}{2*2}=\frac{0-\sqrt{483.6}}{4}
=-\frac{\sqrt{}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{483.6}}{2*2}=\frac{0+\sqrt{483.6}}{4}
=\frac{\sqrt{}}{4}
$