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Question

If 3x7y=10 and xy=1, find the value of 9x2+49y2


Solution

3x7y=10,xy=1

3x7y=10

Squaring both sides,

(3x7y)2=(10)2

 (3x)2+(7y)22×3x×7y=100 9x2+49y242xy=100 9x2+49y242(1)=100 9x2+49y2+42=100 9x2+49y2=10042=58

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