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

Let α and β be roots of the quadratic equation 3x2 - 10x + k = 0

a = 3 b = - 10 c = k

Then

For any general quadratic equation in the form ax2 + bx + c = 0, we have
Product of roots

⇒

⇒ k = 3

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