silivac526
silivac526 silivac526
  • 30-12-2020
  • Mathematics
contestada

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

x^2 - 3/4x + _____ = 10

Respuesta :

mhanifa
mhanifa mhanifa
  • 30-12-2020

Answer:

  • 9/64

Step-by-step explanation:

Given

  • x² - 3/4x + _____ = 10

Need to complete square on the left side of equation

The square should be in the form of:

  • (a + b)² = a² + 2ab + b²

We see a = x therefore

  • 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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