2.2=6.8/x2

Solution for 2.2=6.8/x2 equation:

2.2=6.8/x2

We move all terms to the left:

2.2-(6.8/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

-(+6.8/x2)+2.2=0

We get rid of parentheses

-6.8/x2+2.2=0

We multiply all the terms by the denominator


(2.2)*x2-6.8=0

We multiply parentheses

2.2x^2-6.8=0

a = 2.2; b = 0; c = -6.8;
Δ = b2-4ac
Δ = 02-4·2.2·(-6.8)
Δ = 59.84
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{59.84}}{2*2.2}=\frac{0-\sqrt{59.84}}{4.4}
=-\frac{\sqrt{}}{4.4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{59.84}}{2*2.2}=\frac{0+\sqrt{59.84}}{4.4}
=\frac{\sqrt{}}{4.4}
$