find a pair of integers whose product is 18 and their sum is -9. with steps plz.

Question

find a pair of integers whose product is 18 and their sum is -9. with steps plz.

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Sophia 3 weeks 2021-09-09T23:40:06+00:00 2 Answers 0 views 0

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    0
    2021-09-09T23:41:16+00:00

    \huge\boxed{\underline{\underline{\green{\tt Solution}}}}

    Let x, y be the two numbers

    Then by the condition : The product is 18 we get

    xy = 18 \:  \: ..........(1)

    Again from the condition : Their sum is –9 we get

    x + y =  - 9 \:  \:  \:  ..........(2)

    From Equation (2)

    y =  - 9 - x

    From Equation (1)

    x( - 9 - x) = 18

     \implies \:  - 9x -  {x}^{2}  = 18

    \implies \:   {x}^{2}   + 9x +  18 = 0

    \implies \:   {x}^{2}   + (3 + 6)x +  18 = 0

    \implies \:   {x}^{2}   + 3x + 6x +  18 = 0

    \implies \:   x(x + 3) + 6(x + 3)= 0

    \implies \:   (x + 3)(x + 6)= 0

    So

    either \:  \: x + 3 = 0 \:  \: or \: x + 6 = 0

    x + 3 = 0 \:  \:  \: gives \:  \: x =  - 3

    And

    x + 6 = 0 \:  \:  \: gives \:  \: x =  - 6

    So the required two numbers are 6, 3

    \displaystyle\textcolor{red}{Please \:  Mark \:  it  \: Brainliest}

    0
    2021-09-09T23:41:21+00:00

    Answer:

    -9×18=-162

    is the right answer

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