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-   -   Polynomials- product and sum (https://www.askmehelpdesk.com/showthread.php?t=74913)

  • Mar 22, 2007, 03:16 PM
    schc7
    Polynomials- product and sum
    Can some one tell me two numbers that multiply to -400 and add to 9. This is for some polynomials homework


    P= -400
    S= 9
  • Mar 22, 2007, 03:22 PM
    cool_dude
    Quote:

    Originally Posted by schc7
    Can some one tell me two numbers that multiply to -400 and add to 9. This is for some polynomials homework


    P= -400
    S= 9

    well lets make 2 equations.
    let x,y be 2 numbers

    x + y = 9
    xy = -400

    now solve for x and y by using substitution
  • Mar 22, 2007, 03:27 PM
    schc7
    Thanks, but that's not helping
  • Mar 22, 2007, 03:37 PM
    cool_dude
    well you need to know how to do the substitution method and you need to know how to factor to solve the 2 equations.

    so you have
    xy=-400
    x+y = 9

    lets isolate a variable so lets take equation 2 which is x + y = 9. lets isolate for x so you get
    x = 9-y

    now plug this value into your other equation xy = -400 so you get
    (9-y)y = -400

    now expand brackets so you get
    9y - y^2 = -400

    move everything to one side so you get
    y^2-9y-400 = 0

    now factor or use quadratic formula to solve for y. once you get y than you plug it back into original equation and you get x and those are your 2 numbers.

    to check your answer the 2 numebrs are 25 and -16
  • Mar 22, 2007, 03:49 PM
    schc7
    Thanks man. Are you in grade ten too? Or are u just an adult that's good at math
  • Mar 22, 2007, 04:15 PM
    cool_dude
    I am in grade 12. I know this stuff like 2+2. once you get to grade 12 you would be looking back at this saying how easy it is.

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