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 ________
Answers
Answered by
25
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
_______________
Answered by
115
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
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