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Let two numbers have arithmetic mean 9 and geometric mean 4. Then these numbers are the roots of the quadratic equation

Options

  1. Ax^2+18 x+16=0
  2. Bx^2-18 x-16=0
  3. Cx^2+18 x-16=0
  4. Dx^2-18 x+16=0

Correct answer

D. x^2-18 x+16=0

Step-by-step solution

Let numbers be a, b a+b=18, a b =4 a b=16, a and b are roots of the equation x^2-18 x+16=0

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