If the equation 3x3 - 16x2 + mx - 6 = 0 has three positive real roots, out of which two roots are reciprocals of each other, the value of m is _______ .

Question

If the equation 3x3 - 16x2 + mx - 6 = 0 has three positive real roots, out of which two roots are reciprocals of each other, the value of m is _______ .
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Solution 1

Let's solve this step by step:

Step 1: Given that two roots are reciprocals of each other, let's assume these roots to be 'a' and '1/a'.

Step 2: The third root is positive, let's assume it to be 'b'.

Step 3: According to Vieta's formulas, the sum of the roots of the equation is equal to the rat Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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