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Find the roots of: x^2+13x+22=0 Please show me step by step.?

Posted in: zjnq.com Date: March 11th, 2010

  • The back of the book actually says -11 or -2. Thing is how the heck do they get that, i tried factoring and decomposing the equation, just doesn't seem to work. Appreciate if u can help me out and show me step by step please.


  • This is a factoring problem..
    x(squared) + 13x + 22 = 0
    x(squared) + 13x + 22 = 0
    (x + 11) (x + 2) = 0 (11x+2x=13x and 11x2=22, which is how I got)
    x + 11 = 0 x + 2 = 0
    subtract 11 subtract 2 (from both sides)
    x = -11 x = -2
    Hence -11 or -2!!


  • x虏 + 13x + 22 = 0
    (x + 2)(x + 11) = 0
    x = -2 or -11

    so for factoring you need 2 numbers that multiply for 22 and add for 13, which are 2 and 11

    then when you get (x + 2)(x + 11) = 0
    remember that if you multiply 2 things and get 0 then at least one of those 2 things is zero, hence
    x + 2 = 0 or x + 11 = 0
    x = -2 or x = -11


  • x^2+13x+22=0
    (x+2)(x+11)=0

    x+2=0
    x=-2
    x+11=0
    x=-11







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