if a +b +c =9 and ab+bc+ca=26,find a²+b²+c²
Answers
Answered by
0
Answer:
-468
Step-by-step explanation:
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Answered by
0
Answer:
29
Step-by-step explanation:
(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca ---------- (1)
Now, (a + b + c)² = (9)² = 81
Equation (1) can be written as (a + b + c)² = a² + b² + c² + 2(ab + bc + ca)
So, 81 = a² + b² + c² + 2(26)
81 = a² + b² + c² + 52
a² + b² + c² = 81 - 52
a² + b² + c² = 29
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