Question

if the zero of the polynomial x^2 - 5 x + K are the reciprocal of each other find the value of k

Answer 1

Heya !!!




Let one zero of the given polynomial be Alpha


Then other zero will be 1/Alpha .




P(X) = X² -5X + K





Here,




A = 1 , B = -5 and C = K






Product of zeroes = C/A




Alpha × 1/Alpha = K/1





1 = K/1




K = 1





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Answer 2

Answer:

Step-by-step explanation:

let α be the zero of the polynomial

product of zeros=α × 1/α= c/a

                          ⇒ 1=k/1

                          ⇒k=1