If x=2+3√2x=2+32, then find the value of (x+14x)(x+14x).

6√363

6√262

– 6√262

-6√363​

1 thought on “If x=2+3√2x=2+32, then find the value of (x+14x)(x+14x).<br /><br />6√363<br /><br />6√262<br /><br />– 6√262<br /><br />-6√363​”

1. Answer:

   5 is the correct answer

   Step-by-step explanation:

   Given: x

   2

   +kx+6=(x+2)(x+3) for all values of x

   To find the value of k

   Sol: x

   2

   +kx+6=(x+2)(x+3)

   ⟹x

   2

   +kx+6=x(x+3)+2(x+3)

   ⟹x

   2

   +kx+6=x

   2

   +3x+2x+6

   ⟹x

   2

   +kx+6=x

   2

   +5x+6

   Equating both sides in the above condition we get,

   The value of k=5

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