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