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

Answer 1

Answer:

k = -2

Step-by-step explanation:

Product of roots = c / a

Equation : (k-1)x² - 10x - 3 = 0

Let, 1st root = α

2nd root = 1/α

a = (k - 1)

c = -3

Product of roots = c/a

⇒α × 1/α = -3 / k-1

⇒1 = -3 / k-1

⇒k-1 = -3

⇒k = -3 + 1

⇒k = -2

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