Multiple choice

The Geometrical Means between the roots of the equation $x^2 -18x + 9 = 0$ will be

  1. $9 \sqrt 2$
  2. $9$
  3. $3$
  4. $3 \sqrt 2$
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C Correct answer
Explanation

For x^2 - 18x + 9 = 0, the product of roots is 9. The geometric mean of two numbers a and b is sqrt(ab). Here, sqrt(9) = 3.

AI explanation

The geometric mean between the roots of a quadratic equation is the square root of their product. Using the product of roots formula, we find the product is the constant term 9 divided by the leading coefficient 1, which is 9. The square root of 9 is 3.

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