a^2-10a+34=0

Solution for a^2-10a+34=0 equation:

Simplifying
a2 + -10a + 34 = 0

Reorder the terms:
34 + -10a + a2 = 0

Solving
34 + -10a + a2 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '-34' to each side of the equation.
34 + -10a + -34 + a2 = 0 + -34

Reorder the terms:
34 + -34 + -10a + a2 = 0 + -34

Combine like terms: 34 + -34 = 0
0 + -10a + a2 = 0 + -34
-10a + a2 = 0 + -34

Combine like terms: 0 + -34 = -34
-10a + a2 = -34

The a term is -10a.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10a + 25 + a2 = -34 + 25

Reorder the terms:
25 + -10a + a2 = -34 + 25

Combine like terms: -34 + 25 = -9
25 + -10a + a2 = -9

Factor a perfect square on the left side:
(a + -5)(a + -5) = -9

Can't calculate square root of the right side.

The solution to this equation could not be determined.