1.

If one root of the quadratic equation 3x2 – 10x + k = 0 is reciprocal of the other. Then find the value of k.

Answer»

Given that one root of equation 3x2 − 10x + k = 0 is reciprocal to other root.

Hence, let the roots are  α and \(\frac{1}{\alpha}.\)

Therefore, product of roots = α . \(\frac{1}{\alpha}=\frac{k}{3}.\)

\(\frac{k}{3}=1 \Rightarrow k = 3.\)

Hence, the value of k is 3.



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