2y^2-9y+16=0

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Solution for 2y^2-9y+16=0 equation:


Simplifying
2y2 + -9y + 16 = 0

Reorder the terms:
16 + -9y + 2y2 = 0

Solving
16 + -9y + 2y2 = 0

Solving for variable 'y'.

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
8 + -4.5y + y2 = 0

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -4.5y + -8 + y2 = 0 + -8

Reorder the terms:
8 + -8 + -4.5y + y2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -4.5y + y2 = 0 + -8
-4.5y + y2 = 0 + -8

Combine like terms: 0 + -8 = -8
-4.5y + y2 = -8

The y term is -4.5y.  Take half its coefficient (-2.25).
Square it (5.0625) and add it to both sides.

Add '5.0625' to each side of the equation.
-4.5y + 5.0625 + y2 = -8 + 5.0625

Reorder the terms:
5.0625 + -4.5y + y2 = -8 + 5.0625

Combine like terms: -8 + 5.0625 = -2.9375
5.0625 + -4.5y + y2 = -2.9375

Factor a perfect square on the left side:
(y + -2.25)(y + -2.25) = -2.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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