Question

If a and 1/a are the zeros of the quadratic polynomial 2x*2 -x +8k 5hen k is​

Answer 1

Answer:

The required value of k is 1/4

Step-by-step explanation:

Given :

a and 1/a are the zeros of the quadratic polynomial 2x² - x + 8k

To find :

the value of k

Solution :

The quadratic polynomial is of the form ax² + bx + c

Comparing the given quadratic polynomial with the general form, we get

• a = 2
• b = -1
• c = 8k

From the relation between zeroes and coefficients,

• Sum of zeroes = -b/a

• Product of zeroes = c/a

So,

Product of zeroes = c/a

⇒  (a) × (1/a) = 8k/2

⇒   1 = 8k/2

⇒   8k = 1 × 2

⇒   8k = 2

⇒   k = 2/8

⇒   k = 1/4

Therefore, the value of k is 1/4