Question

17.

Find the value of k that will make 4x² – 12x + k a perfect square trinomial.
k =
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Answer 1

Using formula (a-b)^2 = a^2-2ab+b^2

4x 2 −12x+k

=>(2x) 2 −2(2x)(3)+3 2

=>(2x) 2 −2(2x)(3)+9

=> k = 9

Answer 2

Using formula (a-b)^2 = a^2-2ab+b^2

`4x^(2) - 12x + k \\ = > (2x) ^(2) - 2(2x)(3) + {3}^(2) \\ \\ = > {(2x)}^(2) - 2(2x)(3) + 9`

Answer:

k = 9