asked 221k views
1 vote
What number should be added to both sides of the equation to complete the square?

x2 + 3x = 6
Nuw
O
لایا
w
ОО
62

asked
User Mhesabi
by
7.6k points

2 Answers

3 votes

Answer: Is this completing a a square?

Step-by-step explanation:

answered
User KTB
by
8.0k points
4 votes

Answer:

  • 9/4

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

answered
User Dedalo
by
7.8k points

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