X^2-4X+89=0

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Solution for X^2-4X+89=0 equation:


Simplifying
X2 + -4X + 89 = 0

Reorder the terms:
89 + -4X + X2 = 0

Solving
89 + -4X + X2 = 0

Solving for variable 'X'.

Begin completing the square.

Move the constant term to the right:

Add '-89' to each side of the equation.
89 + -4X + -89 + X2 = 0 + -89

Reorder the terms:
89 + -89 + -4X + X2 = 0 + -89

Combine like terms: 89 + -89 = 0
0 + -4X + X2 = 0 + -89
-4X + X2 = 0 + -89

Combine like terms: 0 + -89 = -89
-4X + X2 = -89

The X term is -4X.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4X + 4 + X2 = -89 + 4

Reorder the terms:
4 + -4X + X2 = -89 + 4

Combine like terms: -89 + 4 = -85
4 + -4X + X2 = -85

Factor a perfect square on the left side:
(X + -2)(X + -2) = -85

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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