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0.5x=1000+x^2
We move all terms to the left:
0.5x-(1000+x^2)=0
We get rid of parentheses
-x^2+0.5x-1000=0
We add all the numbers together, and all the variables
-1x^2+0.5x-1000=0
a = -1; b = 0.5; c = -1000;
Δ = b2-4ac
Δ = 0.52-4·(-1)·(-1000)
Δ = -3999.75
Delta is less than zero, so there is no solution for the equation
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