Math, asked by minasoni913, 9 months ago

if the roots of 16x2-(k-1)x-1=0 are mutually opposite find k step by step.​

Answers

Answered by MaheswariS
0

\textbf{Given:}

\text{The roots of $16x^2-(k-1)x-1=0$ are mutually opposite}

\textbf{To find:}

\text{The value of k}

\textbf{Solution:}

\text{Since the roots are mutually opposite, we take them as $\alpha$ and $-\alpha$}

\text{Sum of the roots}=\dfrac{-b}{a}

\implies\,\alpha+(-\alpha)=\dfrac{k-1}{16}

\implies\,0=\dfrac{k-1}{16}

\implies\,k-1=0

\implies\bf\,k=1

\textbf{Answer:}

\textbf{The value of k is 1}

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