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Anika [276]
3 years ago
3

Given that 4x^2-32x-20+k is a perfect square find k​

Mathematics
1 answer:
Alexxandr [17]3 years ago
3 0

Answer:

  • k = 20

Step-by-step explanation:

<u>Perfect square identity:</u>

  • (a + b)² = a² + 2ab + b²

<u>Completing the square:</u>

  • 4x² - 32x - 20 + k =
  • (2x)² - 2*2x*8 + 8² - 20 + k =
  • (2x - 8)² - (20 - k)

<u>In order the given to be a perfect square, we need:</u>

  • 20 - k = 0
  • k = 20

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