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Given:-
- a + b + c = 9
- ab + bc + ca = 26
⠀
To find:-
- a² + b² + c² =
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Solution:-
According to the question
As we know that,
→ (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca
→ a² + b² + c² = (a + b + c)² - 2ab - 2bc - 2ca
→ a² + b² + c² = (a + b + c)² - 2(ab + bc + ca)
Now,
→ a² + b² + c² = (9)² - 2(26)
→ a² + b² + c² = 81 - 52
→ a² + b² + c² = 29
⠀
Hence,
- a² + b² + c² = 29
⠀
Therefore,
- Option (c) is correct.
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