(Y-3)^2=2y^2+y+21

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Solution for (Y-3)^2=2y^2+y+21 equation: 



(-3)^2=2Y^2+Y+21

We move all terms to the left:

(-3)^2-(2Y^2+Y+21)=0

We add all the numbers together, and all the variables

-(2Y^2+Y+21)+9=0

We get rid of parentheses

-2Y^2-Y-21+9=0

We add all the numbers together, and all the variables

-2Y^2-1Y-12=0

a = -2; b = -1; c = -12;
Δ = b2-4ac
Δ = -12-4·(-2)·(-12)
Δ = -95
Delta is less than zero, so there is no solution for the equation

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