Math, asked by Drishya625, 1 year ago

If a+b+c=8 and ab+bc+ca=19 Find a^2+b^2+c^2

Answers

Answered by atharva88
12
Given,
a+b+c=8,ab+bc+ac=19
a²+b²+c²=?

=(a+b+c)²=a²+b²+c²+2(ab+bc+ac)
=(8)²=a²+b²+c²+2(19)
=64=a²+b²+c²+38
=a²+b²+c²=64-38
=a²+b²+c²=26.
Answered by Anonymous
6
hey mate here is ur ans ↓↓

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⇒(a + b + c)²=a²+b²+c²+2ab+2bc+2ca

⇒8²=a²+b²+c²+2(ab + bc +ca)

⇒64 = a² + b²+c² +2×19

⇒64 = a²+b²+c²+38

⇒64-38 = a²+b²+c²

⇒26= a² + b² + c²

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hope it helP's u☺☺✌
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