Quadratic EquationHard

Question

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

Options

A.x2 + 18x + 16 = 0
B.x2 - 18x - 16 = 0
C.x2 + 18x - 16 = 0
D.x2 - 18x + 16 = 0

Solution

Let numbers be a, b ⇒ a + b = 18, √ab = 4 ⇒ ab = 16, a and b are roots of the equation
⇒   x2 - 18x + 16 = 0.

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