Multiple choice

GM of the roots of equation $x^2 - 18x + 9 = 0$ is

  1. $6$
  2. $5$
  3. $3$

  4. None of these
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C Correct answer
Explanation

For x^2 - 18x + 9 = 0, the product of roots is 9. The GM of roots is sqrt(product of roots) = sqrt(9) = 3.

AI explanation

For a quadratic equation x^2 - 18x + 9 = 0, the product of the roots is given by c/a, which is 9/1 = 9. The geometric mean of two numbers is the square root of their product. Therefore, the geometric mean is sqrt(9), which is 3.

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