Question

If one root of eqn ( k-1)x^ - 10x + 3= 0 is the reciprocal of the other then the value of k is

Answer 1

The vaue of k is "4".

Step-by-step explanation:

Let $\frac{1}{α}$ and  be the reciprocal of quadratic poynomial.

We know that,

Product of zeroes = $\frac{c}{a}$

Here, a = (k - 1), b = -10 and c = 3

⇒ α·$\frac{1}{α}$ = $\frac{3}{k - 1}$

⇒ 1 = $\frac{3}{k - 1}$

⇒ k - 1 = 3

⇒ k = 3 + 1  = 4

⇒ k = 4

Hence, the vaue of k is "4".