Question

if one root of the equation (k-1)x^2-10x+3=0 is the reciprocal of the other ,then the value of K is _

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Answer 1

Answer:

let one zero be z

then other zero will be 1/z

now,

product of zeros = c/a

=> z×1/z = 3 /k-1

=> 1 = 3/k-1

=> k-1 = 3

=> k = 3+1 = 4

=> k = 4