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81=2x^2/(0.5-x)(0.5-x)
We move all terms to the left:
81-(2x^2/(0.5-x)(0.5-x))=0
Domain of the equation: (0.5-x)(0.5-x))!=0We add all the numbers together, and all the variables
We move all terms containing x to the left, all other terms to the right
-x)(0.5-x)!=-0.5
x∈R
-(2x^2/(-1x+0.5)(-1x+0.5))+81=0
We multiply parentheses ..
-(2x^2/(+x^2-0.5x-0.5x+0.25))+81=0
We multiply all the terms by the denominator
-(2x^2+81*(+x^2-0.5x-0.5x+0.25))=0
We calculate terms in parentheses: -(2x^2+81*(+x^2-0.5x-0.5x+0.25)), so:We get rid of parentheses
2x^2+81*(+x^2-0.5x-0.5x+0.25)
We multiply parentheses
2x^2+81x^2+0x+0x+20.25
We add all the numbers together, and all the variables
83x^2+2x+20.25
Back to the equation:
-(83x^2+2x+20.25)
-83x^2-2x-20.25=0
a = -83; b = -2; c = -20.25;
Δ = b2-4ac
Δ = -22-4·(-83)·(-20.25)
Δ = -6719
Delta is less than zero, so there is no solution for the equation
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