x^2-9x+34=0

Solution for x^2-9x+34=0 equation:

Simplifying
x2 + -9x + 34 = 0

Reorder the terms:
34 + -9x + x2 = 0

Solving
34 + -9x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-34' to each side of the equation.
34 + -9x + -34 + x2 = 0 + -34

Reorder the terms:
34 + -34 + -9x + x2 = 0 + -34

Combine like terms: 34 + -34 = 0
0 + -9x + x2 = 0 + -34
-9x + x2 = 0 + -34

Combine like terms: 0 + -34 = -34
-9x + x2 = -34

The x term is -9x.  Take half its coefficient (-4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
-9x + 20.25 + x2 = -34 + 20.25

Reorder the terms:
20.25 + -9x + x2 = -34 + 20.25

Combine like terms: -34 + 20.25 = -13.75
20.25 + -9x + x2 = -13.75

Factor a perfect square on the left side:
(x + -4.5)(x + -4.5) = -13.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.