Y=0.5x^2-6x+21

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Solution for Y=0.5x^2-6x+21 equation: 



=0.5Y^2-6Y+21

We move all terms to the left:

-(0.5Y^2-6Y+21)=0

We get rid of parentheses

-0.5Y^2+6Y-21=0

a = -0.5; b = 6; c = -21;
Δ = b2-4ac
Δ = 62-4·(-0.5)·(-21)
Δ = -6
Delta is less than zero, so there is no solution for the equation

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