Question

if one of the root of the equation ( k - 1 ) x²- 10x + 3 = 0 is the reciprocal of the other, then the value of k is ________​

Answer 1

Answer:

Let the roots be = x and y

If the one of the roots is reciprocal of the other, then:

y = 1/x

Product of roots = x × y = x × 1/x = 1

Product of zeroes = c/a

=> 1 = 3/(k - 1)

=> k - 1 = 3

=> k = 4

_______________

Answer 2

Answer:

let the one root be x

then other root will be 1/x

now

product of zeroes = c/a

=> x*1/x = 3/(k - 1)

=> 1 = 3/(k - 1)

=> k - 1 = 3

=> k = 3 + 1 = 4

so,

k = 4