Question

if one root of 5x²-2x+k=0 is reciprocal of other than k=?​

Answer 1

Answer:

Let one root be α and other be 1/α

Product of roots = 1 = $\frac{c}{a}$

∴ c = a

∴ k = 5

Answer 2

Answer:

Step-by-step explanation:

Let the roots be α and 1α. Then,

product of roots =(α×1α=1. So, k5=1⇒k=5.