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2.2=6.8/x2
We move all terms to the left:
2.2-(6.8/x2)=0
Domain of the equation: x2)!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
-(+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} $
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