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-103.922+0.628267x-0.0089x^2=10
We move all terms to the left:
-103.922+0.628267x-0.0089x^2-(10)=0
We add all the numbers together, and all the variables
-0.0089x^2+0.628267x-113.922=0
a = -0.0089; b = 0.628267; c = -113.922;
Δ = b2-4ac
Δ = 0.6282672-4·(-0.0089)·(-113.922)
Δ = -3.660903776711
Delta is less than zero, so there is no solution for the equation
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