x^2-2x+0.94=0

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Solution for x^2-2x+0.94=0 equation:


Simplifying
x2 + -2x + 0.94 = 0

Reorder the terms:
0.94 + -2x + x2 = 0

Solving
0.94 + -2x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-0.94' to each side of the equation.
0.94 + -2x + -0.94 + x2 = 0 + -0.94

Reorder the terms:
0.94 + -0.94 + -2x + x2 = 0 + -0.94

Combine like terms: 0.94 + -0.94 = 0.00
0.00 + -2x + x2 = 0 + -0.94
-2x + x2 = 0 + -0.94

Combine like terms: 0 + -0.94 = -0.94
-2x + x2 = -0.94

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -0.94 + 1

Reorder the terms:
1 + -2x + x2 = -0.94 + 1

Combine like terms: -0.94 + 1 = 0.06
1 + -2x + x2 = 0.06

Factor a perfect square on the left side:
(x + -1)(x + -1) = 0.06

Calculate the square root of the right side: 0.244948974

Break this problem into two subproblems by setting 
(x + -1) equal to 0.244948974 and -0.244948974.

Subproblem 1

x + -1 = 0.244948974 Simplifying x + -1 = 0.244948974 Reorder the terms: -1 + x = 0.244948974 Solving -1 + x = 0.244948974 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = 0.244948974 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0.244948974 + 1 x = 0.244948974 + 1 Combine like terms: 0.244948974 + 1 = 1.244948974 x = 1.244948974 Simplifying x = 1.244948974

Subproblem 2

x + -1 = -0.244948974 Simplifying x + -1 = -0.244948974 Reorder the terms: -1 + x = -0.244948974 Solving -1 + x = -0.244948974 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x = -0.244948974 + 1 Combine like terms: -1 + 1 = 0 0 + x = -0.244948974 + 1 x = -0.244948974 + 1 Combine like terms: -0.244948974 + 1 = 0.755051026 x = 0.755051026 Simplifying x = 0.755051026

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.244948974, 0.755051026}

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