if a number is subtracted from its square, the result is 132. find the number

Question

if a number is subtracted from its square, the result is 132. find the number

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Sarah 1 week 2021-09-15T17:29:40+00:00 2 Answers 0

Answers ( )

    0
    2021-09-15T17:30:52+00:00

    The number is either -11 or 12

    Step-by-step explanation:

    Let x be the number

    Then

    According to:

    “if a number is subtracted from its square, the result is 132”

    x^2-x = 132\\x^2-x-132 = 0

    Making factors of 132 that add up to -1

    x^2-12x+11x-132 = 0\\x(x-12)+11(x-12) = 0\\(x-12)(x+11) = 0\\x-12 = 0 => x = 12\\x+11 = 0 => x=-11

    Putting x=-11 in

    x^2-x = 132\\(-11)^2-(-11) = 132\\121+11 = 132\\132 = 132

    Putting x = 12

    x^2-x = 132\\(12)^2 - 12 = 132\\144-12 = 132\\132 = 132

    Hence,

    The number is either -11 or 12

    Keywords: factorization, variables

    Learn more about factorization at:

    • brainly.com/question/4695279
    • brainly.com/question/4703807

    #LearnwithBrainly

    0
    2021-09-15T17:31:26+00:00

    Answer:

    Absor (the guy before me) is in fact 50% correct as the number can only be 12.

    Step-by-step explanation:

    12^2 equals 144

    144-12 equals 132

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