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16 December, 10:40

Nine times a number subtracted from the square of the number is 36 find the two numbers

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  1. 16 December, 10:45
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    x = 12

    x = - 3

    Step-by-step explanation:

    Step-1 : Multiply the coefficient of the first term by the constant 1 • - 36 = - 36

    Step-2 : Find two factors of - 36 whose sum equals the coefficient of the middle term, which is - 9.

    -36 + 1 = - 35

    -18 + 2 = - 16

    -12 + 3 = - 9 That's it

    Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, - 12 and 3

    x2 - 12x + 3x - 36

    Step-4 : Add up the first 2 terms, pulling out like factors:

    x • (x-12)

    Add up the last 2 terms, pulling out common factors:

    3 • (x-12)

    Step-5 : Add up the four terms of step 4:

    (x+3) • (x-12)

    Which is the desired factorization
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