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What number should be added to both sides of the equation to complete the square?
x2 + 3x = 6
Nuw
O
لایا
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ОО
62


Sagot :

Answer: Is this completing a a square?

Step-by-step explanation:

Answer:

  • 9/4

Step-by-step explanation:

The perfect square identity is:

  • (a + b)² = a² + 2ab + b²

Apply to the given equation to complete the square:

  • x² + 3x = 6
  • x² + 2*x*(3/2) + (3/2² = 6 + (3/2)²
  • (x + 3/2)² = 6 + 9/4
  • (x + 3/2)² = 8 1/4

Required number is 9/4