Math Problem Statement
What number should be added to complete the square of the following expression? x^2 - x.
Solution
To complete the square for the expression , we follow this method:
Step 1: Coefficient of
The coefficient of the linear term is .
Step 2: Take half of the coefficient of
Half of is .
Step 3: Square the result
Squaring gives:
Thus, the number that should be added to complete the square is .
Would you like further details or have any questions?
Here are some related questions:
- What is completing the square used for in solving quadratic equations?
- Can completing the square be applied to any quadratic expression?
- How do you factor a quadratic after completing the square?
- What happens if the coefficient of is not 1?
- How can completing the square help in deriving the quadratic formula?
Tip: Completing the square is particularly useful when solving quadratic equations that do not factor easily.
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Math Problem Analysis
Mathematical Concepts
Completing the Square
Quadratic Expressions
Algebra
Formulas
(b/2)^2 for completing the square
Theorems
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Suitable Grade Level
Grades 8-10