Multiple choice

The G.M of the roots of the equation x2 - 18x + 9 = 0 is

  1. 4

  2. 5

  3. 6

  4. 3
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D Correct answer
Explanation

For x^2 - 18x + 9 = 0, product of roots = c/a = 9. Geometric Mean (GM) = sqrt(product of roots) = sqrt(9) = 3.

AI explanation

Using the relationship between roots and coefficients for the equation x^2 - 18x + 9 = 0, the product of the roots is the constant term, which is 9. The geometric mean of two numbers is the square root of their product. Taking the positive square root of 9 gives the geometric mean of the roots as 3.

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