Find the value(s) of k for which the expression is a perfect square trinomial. 49x^2-84x+k

Question

Find the value(s) of k for which the expression is a perfect square trinomial.
49x^2-84x+k

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Gia Bảo 1 year 2021-08-24T01:09:09+00:00 1 Answers 10 views 0

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    2021-08-24T01:11:08+00:00

    Step-by-step explanation:

    step 1. the perfect square will look like this: (7x + a)(7x + a) = (7x + a)^2.

    step 2. by performing FOIL you will get 49x^2 + 14xa + a^2.

    step 3. 14a = 84. a = 6

    step 4. a^2 = 36.

    step 5. k = 36.

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