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begin mathsize 12px style If space straight a plus straight b equals 1 space and space straight a minus straight b equals 7 space find space the space values space of
left parenthesis straight i right parenthesis space 5 open parentheses straight a squared plus straight b squared close parentheses
left parenthesis ii right parenthesis space ab end style

Asked by Topperlearning User 4th August 2017, 2:09 PM
Answered by Expert
Answer:

begin mathsize 12px style straight a plus straight b equals 1 comma space straight a minus straight b equals 7
left parenthesis straight a plus straight b right parenthesis squared minus left parenthesis straight a minus straight b right parenthesis squared equals 4 ab
1 squared minus 7 squared equals 4 ab
1 minus 49 equals 4 ab
4 ab equals negative 48 ab equals negative 12............. left parenthesis straight i right parenthesis
Now comma space we space know space that
straight a squared plus straight b squared equals left parenthesis straight a plus straight b right parenthesis squared minus 2 ab
equals 1 squared minus 2 cross times left parenthesis negative 12 right parenthesis space straight a squared plus straight b squared
equals 1 plus 24
equals 25
left parenthesis straight i right parenthesis
5 left parenthesis straight a squared plus straight b squared space right parenthesis equals 25 cross times 5 equals 125
left parenthesis ii right parenthesis
ab equals negative 12 space space space space space using space equation space left parenthesis 1 right parenthesis end style

Answered by Expert 4th August 2017, 4:09 PM
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