1.

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

Answer»

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

∴ α = 1/β 

(Given)

⇒  αβ = 1

(Product of the roots = c/α)

⇒ k = 3

Hence, the value of k is 3.



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