Question

6. If 2x + y = 14 and xy = 6, find the value of 4x² + y2.​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

Correct option is

A

172

Given(i)2x+y=14                                                

  and (ii)xy=6                          

Using (i)

     (2x+y)  

2

=14  

2

 

Since (a+b)  

2

=a  

2

+b  

2

+2ab

⟹(2x+y)  

2

  = (2x)  

2

+y  

2

+(2×2x×y)=14  

2

=196

⟹4x  

2

+y  

2

+4xy=196

Using (ii)

⟹4x  

2

+y  

2

+4×6=196

⟹4x  

2

+y  

2

+24=196

⟹4x  

2

+y  

2

=196−24

⟹4x  

2

+y  

2

=172

Hence,4x  

2

+y  

2

=172