Question 1172154
3. What is the value of k that will make the trinomial 64x2 + 56x + k be a perfect square? Show clear solution thanksss!
<pre>You just need to COMPLETE the SQUARE, as follows: {{{matrix(4,1, 64x^2 + 56x + k, 64x^2/64 + 56x/64 + ((1/2)b)^2, 64(x^2 + 7x/8 + ((1/2) * (7/8))^2), 64(x^2 + 7x/8 + (7/16)^2))}}}
                       Therefore, as seen above, {{{highlight_green(matrix(1,7, k, "=", 64(7/16)^2, "=", 64(49/256), "=", highlight(49/4)))}}}