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3 years ago

find the positive value of k that would make he left side of the equation a perfect square trinomial x^2-kx+64

Mathematics

1 answer:

Nataliya [291]3 years ago

6 0

Answer: 16

<u>Explanation:</u>

x² - kx + 64

Since we are looking for a perfect square, then we need to take the square root of 64 to find the factors: √64 = 8

So, the factors are: (x - 8)(x - 8)

Foil (or distribute) to get: x² - 16x + 64 <em>The k-value is 16</em>

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$a_5=a_8=a_{11}=a_{14}=...=5\\ \\a_6=a_9=a_{12}=a_{15}=...=8\\ \\a_7=a_{10}=a_{13}=a_{16}=...=11$

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