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Math Help - complet the square

  1. #1
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    complet the square

    Solve by completing the square:

    x^2 + 7/2x =7 (7/2x is a fraction)
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  2. #2
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    To ind the "magic number" that will complete the square - use the formula (b/2)^2. Then add this "magic number" to both sides of the equation. After doing this, you will be able to factor the left hand side into a perfect square trinomial. Then simply take the square root of both sides and continue to solve for x. To divide a fraction by two remember to invert and multiply, then simply square the numerator (top) and the denominator (bottom). If you need more help. Let me know.
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  3. #3
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    sorry but I am lost? I have no idea what you just said...
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  4. #4
    MHF Contributor harish21's Avatar
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    Quote Originally Posted by bball20 View Post
    Solve by completing the square:

    x^2 + 7/2x =7 (7/2x is a fraction)
    x^2+ 2 \times \frac{1}{2}\times \frac{7}{2}x +\left(\frac{7}{4}\right)^2 - {\left(\frac{7}{4}\right)}^2 = 7

    {\left( x+\frac{7}{4}\right)}^2 = 7+{\left(\frac{7}{4}\right)}^2
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  5. #5
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    Compare: (x+ a)^2=
    x^2+ 2ax+ a^2 and
    x^2+ (7/2)x+ ?

    With 2a= 7/2, what is a? And then what is a^2?
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