if a2+ 4b2= 17 and ab = 2 find a+ 2b

Dear Student,

We have,a+2b2=a2+4b2+4ab               =17+4×2              Given, a2+4b2=17 and ab=2               =17+8               =25a+2b2=25a+2b=±25a+2b=±5

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