Question

If x+√2 is a factor of kx2-√2x +1 tgen find tge value of k

Answer 1

Answer:

This is a question of polynomial and also quadratic.

Answer 2

k = -3/2

Step-by-step explanation:

Given:

x + √2 is a factor of kx²-√2x + 1

To find:

The value of k

Solution:

As x +√2 is a factor.

So, x +√2 = 0 ⟹ x = - √2

Now, Putting the value of x in equation,

kx² - √2x + 1

or, k(-√2)² - √2(-√2) +1 = 0

or, k(2) + 2 + 1 = 0

or, 2k + 3 = 0

or, 2k = -3

or, k = -3/2

Therefore, the required value of k is -3/2.