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sweet [91]
2 years ago
10

What constant term should be added to both sides to complete the square on the left side?

Mathematics
1 answer:
grandymaker [24]2 years ago
6 0

Answer:

  • 9/64

Step-by-step explanation:

<u>Given</u>

  • x² - 3/4x + _____ = 10

Need to complete square on the left side of equation

<u>The square should be in the form of:</u>

  • (a + b)² = a² + 2ab + b²

<u>We see a = x therefore </u>

  • 2b = -3/4, so
  • b = -3/8 and
  • b² = (-3/8)² = 9/64

So the missing constant term is 9/64

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