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2.5=x+12/x
We move all terms to the left:
2.5-(x+12/x)=0
Domain of the equation: x)!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
-(+x+12/x)+2.5=0
We get rid of parentheses
-x-12/x+2.5=0
We multiply all the terms by the denominator
-x*x+(2.5)*x-12=0
We multiply parentheses
-x*x+2.5x-12=0
Wy multiply elements
-1x^2+2.5x-12=0
a = -1; b = 2.5; c = -12;
Δ = b2-4ac
Δ = 2.52-4·(-1)·(-12)
Δ = -41.75
Delta is less than zero, so there is no solution for the equation
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