Question

If one root of equation in bracket K - 1 bracket close x square - 10x + 3 is equal to zero is the reciprocal of other then the value of k is

Answer 1

Answer:

The answer is 4.

Step-by-step explanation:

Since we can find the value of K by using equation of ax² + bx +c =0

The product of the roots is c/a.

Since we can assume the roots as y and 1/y respectively.

Now find the value of K.

(K-1)x^2 -10 x +3 = 0

Let one root = y

Second root = 1/y

(y)(1/y) = c/a = 3/K-1

After cancellation:

0 = 3/K-1

K-1 = 3

K = 3 + 1

K = 4

Thus the value of K is 4.