4y^2-11y+24=0

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Solution for 4y^2-11y+24=0 equation:


Simplifying
4y2 + -11y + 24 = 0

Reorder the terms:
24 + -11y + 4y2 = 0

Solving
24 + -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'.
6 + -2.75y + y2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + -2.75y + -6 + y2 = 0 + -6

Reorder the terms:
6 + -6 + -2.75y + y2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -2.75y + y2 = 0 + -6
-2.75y + y2 = 0 + -6

Combine like terms: 0 + -6 = -6
-2.75y + y2 = -6

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 = -6 + 1.890625

Reorder the terms:
1.890625 + -2.75y + y2 = -6 + 1.890625

Combine like terms: -6 + 1.890625 = -4.109375
1.890625 + -2.75y + y2 = -4.109375

Factor a perfect square on the left side:
(y + -1.375)(y + -1.375) = -4.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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