Question

If zeroes of polynomialx^2-5x+k are reciprocal of each other then find the value of k.

Answer 1

Answer: k = 1

Step-by-step explanation:

Notation

@ = Alpha

= x² - 5x + k

Quadratic Equation :-

ax + bx + c = 0

Zeroes of polynomial = @ and β

★Product of zero = c ÷ a

${\implies @\times\dfrac{1}{@} = \dfrac{k}{1}}$

1 = k