Algebra

Which of the following statements is true?
A.
Any quadratic equation can be solved by completing the square.
B.
Completing the square always gives two distinct solutions.
C.
You can’t complete the square if there is no constant in the equation.
D.
You can only use completing the square when the x-term in the equation is even.

asked by Emma
  1. I betcha I can solve any quadratic equation by completing the square.

    posted by Reiny
  2. But isn't it also true that you can't complete the square if there is no constant?

    posted by Emma
  3. e.g.

    x^2 - 6x = 0
    add 9 to both sides
    x^2 - 6x + 9 = 9
    (x-3)^2 = 9
    x-3 = ±3
    x = 3 ± 3 = 6 or 0

    check:
    by factoring,
    x(x-6) = 0
    x = 0 or x = 6 , as above

    posted by Reiny
  4. Which of the following statements is not true about completing the square?

    posted by Anonymous

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