a + b + c is equals to 9 and a b + BC + CA is equal to 26 find the value of a square + b square + c square
vipinverma34:
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Answers
Answered by
5
hi mate your answer↓
ab+bc+ac=26
multiplying by 2
2ab+2bc+2ac=52
a^2+b^2+c^2=(a+b+c)^2-(2ab+2bc+2ac)
=9^2-52
=81-52
=29
hope that it will help you
Answered by
11
Answer:
29
Step-by-step explanation:
a + b + c = 9
ab + bc + ca = 26
a² + b² + c² = ?
We know that, (a + b + c)² = a² + b² + c² + 2(ab + bc + ca)
Thus,
(9)² = [a²+ b² + c²] + 2(26)
81 = (a² + b² + c²) + 52
⇒ a² + b² + c² = 81 - 52 = 29
Hence, the answer is 29.
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