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123goldie

  • 3 years ago

How do you complete the square?

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  1. gandalfwiz
    • 3 years ago
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    with lines

  2. 123goldie
    • 3 years ago
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    I mean with like quadratic equations...

  3. Harkirat
    • 3 years ago
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    u add square of half the coefficient of x to both sides.....

  4. Harkirat
    • 3 years ago
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    if u give a question I can explain..

  5. 123goldie
    • 3 years ago
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    Got it!

  6. Harkirat
    • 3 years ago
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    good for u then....☺

  7. amistre64
    • 3 years ago
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    in algebra we are given an equation; quadratic in nature usually; and in order to "complete the square" we can look to geometry: for instance: x^2 +6x + ??? completes the square set it up like this \begin{array}c &&&6/2\ xs\\ &x^2&x&x&x\\ &x&1&2&3\\ 6/2\ xs&x&4&5&6\\ &x&7&8&9\\ \end{array} it take an additional 9 pieces to "complete" the square

  8. amistre64
    • 3 years ago
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    while the geometry is useful to describe what a "complete square" square is; it impractical to use all the time; so we take our lead from it and abstractly construct our square with half of our "x" coefficient; and square it

  9. Diogo
    • 3 years ago
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    example: you have x^2 + 10x + C you want to find C. just simply solve this equation: \[10x = 2x*\sqrt{C}\] i mean, you have to match the second term with this expression ( 2x*sqrt(C) )

  10. Diogo
    • 3 years ago
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    it will give you C = 25. Thats the number you were looking for ;)

  11. Diogo
    • 3 years ago
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    I've found this out by myself when i was in college. It was very useful for my advanced math classes

  12. Diogo
    • 3 years ago
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    I've found this out by myself when i was in college. It was very useful for my advanced math classes

  13. Harkirat
    • 3 years ago
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    25 = 5² which is square of half of the coefficient of x as I said !!!

  14. Diogo
    • 3 years ago
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    well.. here is the proof of what you said then. only words doesnt mean anything :p

  15. gandalfwiz
    • 3 years ago
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    could I have another example?

  16. gandalfwiz
    • 3 years ago
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    Just to get it in my brain :)

  17. amistre64
    • 3 years ago
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    abstract: ax^2 +bx +c c = (b/2)^2

  18. Diogo
    • 3 years ago
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    x^2 + 4x + C 4x = 2x*sqrt(C) 2 = sqrt(C) C = 4 so: x^2 + 4x + 4 = perfect square

  19. amistre64
    • 3 years ago
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    thats if a=1 i believe

  20. gandalfwiz
    • 3 years ago
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    thnx!

  21. 123goldie
    • 3 years ago
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    Thanks guys!

  22. amistre64
    • 3 years ago
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    no prob

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