English

If the arithmetic mean of the roots of the equation x^2 – 6x + 8 = 0 is ______.

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Question

If the arithmetic mean of the roots of the equation x2 – 6x + 8 = 0 is ______.

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Solution

If the arithmetic mean of the roots of the equation x2 – 6x + 8 = 0 is 3.

Explanation:

For x2 – 6x + 8 = 0, the sum of the roots = `-(-6)/1 = 6`, so the arithmetic mean = `6/2` = 3.

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Chapter 4: Quadratic Equations - FILL IN THE BLANK TYPE QUESTIONS (FBQs) [Page 4.59]

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R.D. Sharma Mathematics [English] Class 10
Chapter 4 Quadratic Equations
FILL IN THE BLANK TYPE QUESTIONS (FBQs) | Q 7. | Page 4.59
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