CBSE Class 9 Answered
If a2
+ b2 + c2 = 30 and a + b + c = 10 then find the value
of ab + bc + ca.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
Expert Answer
We have
(a + b + c)2 = a2 + +b2 + c2 + 2ab + 2bc + 2ca
(a + b+ c)2 = a2 + b2 + c2 + 2(ab + bc + c + ca)
(10)2 = 30 + 2(ab + bc + ca)
100 - 30 = 2(ab + bc + ca)
70 = 2(ab + bc + ca)
35 = ab + bc + ca
Answered by | 04 Jun, 2014, 03:23: PM
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