# Find the Value of K for Which the Roots of the Equation 3x2 - 10x + K = 0 Are Reciprocal of Each Other. - Mathematics

Sum

Find the value of k for which the roots of the equation 3x2 - 10x + k = 0 are reciprocal of each other.

#### Solution

The given equation is 3"x"^2 - 10"x" + "k" = 0
Roots of the given equation are reciprocal of each other.
Let α and 1/alpha be the roots of the given equation.
Product of roots = c/alpha

⇒ α . (1)/α = "k"/(3)

⇒ "k"/(3) = 1

⇒ "k" = 3

Concept: Nature of Roots
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