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If a + b + c = 9 and ab + bc + ca = 40 , find a2 + b2 + c2 |
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Answer» Answer:1 Step-by-step explanation:Brainly.in What is your question? 1 Secondary School Math 5 points If a+b+c=9 and ab+bc+ca=40,find a square +b sqaure+c square Ask for details Follow Report by Isha210 23.03.2018 Answers Hi there !! Given, a + b + c = 9 ab + bc + ca = 40 To find : a² + b² + c² The FOLLOWING expression matches to the algebraic identity (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ac or (a + b + c)² = a² + b² + c² + 2( ab + bc + ac) Thus, (a + b + c)² = a² + b² + c² + 2(ab + bc + ac) substituting the values, we have, 9² = a² + b² + c² + 2( 40) 81 = a² + b² + c² + 80 Transposing 80 to LHS, we have, 81 - 80 = a² + b² + c² Thus, a² + b² + c² = 1 |
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