Question

sum of the zeroes of the polynomial p(x) is x2-kx-9 is 7.find the value of k​

Answer 1

$\textbf{Given:}$

$\mathsf{Sum\;of\;the\;zeroes\;of\;P(x)=x^2-kx-9\;is\;7}$

$\textbf{To find:}$

$\textsf{The value of 'k'}$

$\textbf{Solution:}$

$\textsf{Consider,}$

$\mathsf{P(x)=x^2-kx-9}$

$\mathsf{Sum\;of\;the\;zeroes=7}$

$\implies\mathsf{\dfrac{-b}{a}=7}$

$\implies\mathsf{\dfrac{-(-k)}{1}=7}$

$\implies\boxed{\mathsf{k=7}}$

$\textbf{Find more:}$

If a and b are the zeros of polynomial 6x²-(k+1)-7x such that one zero is 11/6 more than the other, find the value of k.

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