(y^2)-y+154=0

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Solution for (y^2)-y+154=0 equation:


Simplifying
(y2) + -1y + 154 = 0
y2 + -1y + 154 = 0

Reorder the terms:
154 + -1y + y2 = 0

Solving
154 + -1y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-154' to each side of the equation.
154 + -1y + -154 + y2 = 0 + -154

Reorder the terms:
154 + -154 + -1y + y2 = 0 + -154

Combine like terms: 154 + -154 = 0
0 + -1y + y2 = 0 + -154
-1y + y2 = 0 + -154

Combine like terms: 0 + -154 = -154
-1y + y2 = -154

The y term is -1y.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1y + 0.25 + y2 = -154 + 0.25

Reorder the terms:
0.25 + -1y + y2 = -154 + 0.25

Combine like terms: -154 + 0.25 = -153.75
0.25 + -1y + y2 = -153.75

Factor a perfect square on the left side:
(y + -0.5)(y + -0.5) = -153.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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