Question

If 2 is a zeros of kx²-2x+k, then find the ​

Answer 1

Answer:

k(2)2 - 2(2) +k

4k - 4 + k

5k - 4

5k = 4

k = 4/5

Answer 2

$\huge\bold{Answer:-}$

Given:-

• The polynomial is kx² - 2x + k .
• The zeros of the polynomial is 2

To Find:-

• The Value of k.

Solution:-

p(x ) = kx² - 2x + k .

p ( x ) = 0

p( 2) = k( 2) ² - 2 × 2 + k

p( 2) = 4k - 4 + k

Now,

The polynomial becomes 4k - 4 + k.

4k - 4 + k = 0

4 k + k - 4 = 0

k ( 4 + 1 ) - 4 = 0

k ( 4 + 1 ) = 4

k = $\dfrac{4}{4 + 1 }$

k = $\dfrac{4}{5}$

Therefore , the value of k is $\dfrac{4}{5}$