4y^2-5y+49=0

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Solution for 4y^2-5y+49=0 equation:


Simplifying
4y2 + -5y + 49 = 0

Reorder the terms:
49 + -5y + 4y2 = 0

Solving
49 + -5y + 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'.
12.25 + -1.25y + y2 = 0

Move the constant term to the right:

Add '-12.25' to each side of the equation.
12.25 + -1.25y + -12.25 + y2 = 0 + -12.25

Reorder the terms:
12.25 + -12.25 + -1.25y + y2 = 0 + -12.25

Combine like terms: 12.25 + -12.25 = 0.00
0.00 + -1.25y + y2 = 0 + -12.25
-1.25y + y2 = 0 + -12.25

Combine like terms: 0 + -12.25 = -12.25
-1.25y + y2 = -12.25

The y term is -1.25y.  Take half its coefficient (-0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
-1.25y + 0.390625 + y2 = -12.25 + 0.390625

Reorder the terms:
0.390625 + -1.25y + y2 = -12.25 + 0.390625

Combine like terms: -12.25 + 0.390625 = -11.859375
0.390625 + -1.25y + y2 = -11.859375

Factor a perfect square on the left side:
(y + -0.625)(y + -0.625) = -11.859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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