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cierra
cierra asked in Science & MathematicsMathematics · 2 years ago

Two numbers multiply to be -40 and add to be 3. What are the numbers?

8 Answers

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  • JSG
    2 years ago

    The numbers are 8 and -5

  • ?
    Lv 7
    2 years ago

    The numbers are -5 and 8.

  • Anonymous
    2 years ago

    Two numbers multiply to be -40

    (i) x y = -40

    and add to be 3

    x + y = 3

    or

    (ii) y = 3 - x

    Substitute (ii) into (i)

    x(3 - x) = -40

    3x - x^2 + 40 = 0

    x^2 - 3x - 40 = 0

    Factorise

    (x + 5)(x - 8) = 0

    x = -5

    or

    x = 8

    x and y are interchangeable

    The numbers are 8 and -5

  • sepia
    Lv 7
    2 years ago

    Two numbers multiply to be -40 and add to be 3.

    The numbers are -5 and 8.

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  • Mike G
    Lv 7
    2 years ago

    x(3-x) = -40

    x^2-3x-40 = 0

    (x-8)(x+5) = 0

    Numbers are -5 and 8

  • Como
    Lv 7
    2 years ago

    x y = - 40

    x + y = 3

    x ( 3 - x ) = - 40

    3x - x² = - 40

    x² - 3x - 40 = 0

    (x - 8) (x + 5) = 0

    x = 8 , x = - 5

    y = - 5 , y = 8

    Numbers are - 5 and 8

  • ted s
    Lv 7
    2 years ago

    8 + ( - 5 ) = 3

  • TomV
    Lv 7
    2 years ago

    8 and -5 are the numbers you're looking for.

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