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Math Help - factoring problem..plz help!

  1. #1
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    Unhappy factoring problem..plz help!

    it says solve by factoring==> 5x^2+6-11=0

    i have no idea how to begin to factor this.

    thanks
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  2. #2
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    Quote Originally Posted by Candy101 View Post
    it says solve by factoring==> 5x^2+6-11=0

    i have no idea how to begin to factor this.

    thanks
    check your equation
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  3. #3
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    Quote Originally Posted by Candy101 View Post
    it says solve by factoring==> 5x^2+6-11=0

    i have no idea how to begin to factor this.

    thanks
    i think you mean 5x^2+6x-11
    5x^2+6x-11=(x-1)(5x+11).
    I'll let you find the solutions.
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  4. #4
    Super Member Bacterius's Avatar
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    I do not understand what you mean, Raoh ?
    Without the " = 0" part, you cannot solve the equation, you can only simplify the expression.

    Anyway, one needs to solve :

    5^2 + 6x - 11 = 0

    This can be factorized as :

    (x - 1)(5x + 11) = 0

    Thus the equation becomes :

    x - 1 = 0 and 5x + 11 = 0

    So the solutions are :

    x = 1 and x = \frac{-11}{5}


    EDIT : oh yeah I got it, didn't see he had forgotten an x in his equation Ah well it would have made things simpler
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  5. #5
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    Quote Originally Posted by Bacterius View Post
    I do not understand what you mean, Raoh ?
    Without the " = 0" part, you cannot solve the equation, you can only simplify the expression.

    Anyway, one needs to solve :

    5^2 + 6x - 11 = 0

    This can be factorized as :

    (x - 1)(5x + 11) = 0

    Thus the equation becomes :

    x - 1 = 0 and 5x + 11 = 0

    So the solutions are :

    x = 1 and x = \frac{-11}{5}
    i only meant the EXPRESSION not the equation.
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  6. #6
    Super Member Bacterius's Avatar
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    Quote Originally Posted by Raoh View Post
    i only meant the EXPRESSION not the equation.
    Yep I didn't see it at the moment ..
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  7. #7
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    Quote Originally Posted by Bacterius View Post
    I do not understand what you mean, Raoh ?
    Without the " = 0" part, you cannot solve the equation, you can only simplify the expression.

    Anyway, one needs to solve :

    5^2 + 6x - 11 = 0

    This can be factorized as :

    (x - 1)(5x + 11) = 0

    Thus the equation becomes :

    x - 1 = 0 and 5x + 11 = 0

    So the solutions are :

    x = 1 and x = \frac{-11}{5}


    EDIT : oh yeah I got it, didn't see he had forgotten an x in his equation Ah well it would have made things simpler
    so the answer is actually x= 1 and x=-11/5?

    if it is then did i right ( i was trying to do it but i thought i was doing it totally wrong)
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  8. #8
    Super Member Bacterius's Avatar
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    Quote Originally Posted by Candy101 View Post
    so the answer is actually x= 1 and x=-11/5?

    if it is then did i right ( i was trying to do it but i thought i was doing it totally wrong)
    Yes, the solutions are that.
    If you are unsure about your factorized form, try expanding it again and check if it matches (with some training this can be performed mentally)
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  9. #9
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    Quote Originally Posted by Candy101 View Post
    so the answer is actually x= 1 and x=-11/5?

    if it is then did i right ( i was trying to do it but i thought i was doing it totally wrong)
    yes,x=1 or x=-11/5.
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