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Question

If 64a2+36b2=400,ab=4 , then 8a+6b is:

A
26
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B
28
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C
22
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D
None of the above
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Solution

The correct option is D 28
Given 64a2+36b2=400,ab=4
We know
(a+b)2=a2+b2+2ab
therefore,
(8a+6b)2=(8a)2+(6b)2+2(8a)(6a)
=64a2+36b2+96ab
=400+96×4
=400+384
(8a+6b)2=784
8a+6b=784
8a+6b=28

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