Question

If the zeros of the polynomial $5x^2-7x+k$ are reciprocal of each other, then find the value of ${}^{\prime }{k}^{\prime }$.

Answer 1

$5x^2-7x+k=0$

Given that roots are reciprocal to each other

Let the roots be $x,1/c$

Products of roots$=\frac{k}{5}=1⟹k=5$