Q8 of 176 Page 21

Write the quadratic equation the arithmetic and geometric means of whose roots are A and G respectively.

Let two roots be a and b


∴ The arithmetic mean is given by


⇒


⇒ Geometric mean is given by √a.b


⇒


Quadratic equation can be written as


⇒


Where a and b are roots of given equation


Substituting AM and GM


⇒ x2-2Ax+G2 = 0.


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