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1 January, 11:35

Which of the following are solutions to the equation below 3x^2+27x+54=0

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  1. 1 January, 11:48
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    Answer:x=6

    Step-by-step explanation:Step-1 : Multiply the coefficient of the first term by the constant 1 • 18 = 18

    Step-2 : Find two factors of 18 whose sum equals the coefficient of the middle term, which is - 9.

    -18 + - 1 = - 19

    -9 + - 2 = - 11

    -6 + - 3 = - 9 That's it

    Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, - 6 and - 3

    x2 - 6x - 3x - 18

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

    x • (x-6)

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

    3 • (x-6)

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

    (x-3) • (x-6)

    Which is the desired factorization
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