rithikaarun360 rithikaarun360

16-02-2021
Mathematics

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

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greenforestaz greenforestaz

16-02-2021

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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