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If a + b = 12 and a^2 + b^2 = 70, what is the value of ab? (2019)

Practice Questions

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If a + b = 12 and a^2 + b^2 = 70, what is the value of ab? (2019)
  1. 20
  2. 22
  3. 24
  4. 25

Questions & Step-by-step Solutions

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Q
Q: If a + b = 12 and a^2 + b^2 = 70, what is the value of ab? (2019)
Solution: Using the identity a^2 + b^2 = (a + b)^2 - 2ab, we have 70 = 12^2 - 2ab. Thus, 70 = 144 - 2ab, leading to ab = 37.
Steps: 0

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