a^2-3a+4=0

Solution for a^2-3a+4=0 equation:

Simplifying
a2 + -3a + 4 = 0

Reorder the terms:
4 + -3a + a2 = 0

Solving
4 + -3a + a2 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -3a + -4 + a2 = 0 + -4

Reorder the terms:
4 + -4 + -3a + a2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3a + a2 = 0 + -4
-3a + a2 = 0 + -4

Combine like terms: 0 + -4 = -4
-3a + a2 = -4

The a term is -3a.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3a + 2.25 + a2 = -4 + 2.25

Reorder the terms:
2.25 + -3a + a2 = -4 + 2.25

Combine like terms: -4 + 2.25 = -1.75
2.25 + -3a + a2 = -1.75

Factor a perfect square on the left side:
(a + -1.5)(a + -1.5) = -1.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.