a^2-14a+51=0

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Solution for a^2-14a+51=0 equation:


Simplifying
a2 + -14a + 51 = 0

Reorder the terms:
51 + -14a + a2 = 0

Solving
51 + -14a + a2 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '-51' to each side of the equation.
51 + -14a + -51 + a2 = 0 + -51

Reorder the terms:
51 + -51 + -14a + a2 = 0 + -51

Combine like terms: 51 + -51 = 0
0 + -14a + a2 = 0 + -51
-14a + a2 = 0 + -51

Combine like terms: 0 + -51 = -51
-14a + a2 = -51

The a term is -14a.  Take half its coefficient (-7).
Square it (49) and add it to both sides.

Add '49' to each side of the equation.
-14a + 49 + a2 = -51 + 49

Reorder the terms:
49 + -14a + a2 = -51 + 49

Combine like terms: -51 + 49 = -2
49 + -14a + a2 = -2

Factor a perfect square on the left side:
(a + -7)(a + -7) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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