Question

If the zero of the polynomials x^2-5x+k are the reciprocal of each other, find the value of k

Answer 1

Hey!

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= x² - 5x + k

ax + bx + c = 0

★Zeroes of polynomial

= α and β

★Product of zero = constant term ÷ coefficient of x

★Product of zero = c ÷ a

α × 1 ÷ α = k ÷ 1

α and α cancel

1 = k

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Answer 2

Hey! ! !

Mate :-

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Question :-

☆ If the zero of the polynomials x^2-5x+k are the reciprocal of each other, find the value of k

Solution :-

Given :-

p (x) = x^2 - 5x + k

a = 1 b = -5 c = k

A/q

Zeros of polynomial =

@ nd 1/@

Hence,

@ × 1/@ = c/a

:- k = 1 (:- @ cancel each other )

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☆ Regards :- ♡♡《 Nitish kr singh 》♡♡

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