Question

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

6√363

6√262

- 6√262

-6√363​

Answer 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