4y^2-11y+20=

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Solution for 4y^2-11y+20= equation:


Simplifying
4y2 + -11y + 20 = 0

Reorder the terms:
20 + -11y + 4y2 = 0

Solving
20 + -11y + 4y2 = 0

Solving for variable 'y'.

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

Divide each side by '4'.
5 + -2.75y + y2 = 0

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -2.75y + -5 + y2 = 0 + -5

Reorder the terms:
5 + -5 + -2.75y + y2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2.75y + y2 = 0 + -5
-2.75y + y2 = 0 + -5

Combine like terms: 0 + -5 = -5
-2.75y + y2 = -5

The y term is -2.75y.  Take half its coefficient (-1.375).
Square it (1.890625) and add it to both sides.

Add '1.890625' to each side of the equation.
-2.75y + 1.890625 + y2 = -5 + 1.890625

Reorder the terms:
1.890625 + -2.75y + y2 = -5 + 1.890625

Combine like terms: -5 + 1.890625 = -3.109375
1.890625 + -2.75y + y2 = -3.109375

Factor a perfect square on the left side:
(y + -1.375)(y + -1.375) = -3.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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