Prove that the Quadratic equation whose roots are a and b is given by x2-2Ax+G2=0 where A =Arithmetic mean and G is the geometric mean of a and b respectively.
the quadratic equation with roots a and b is given by x2-(a+b)x+ab=0
the arithmetic mean of a and b is A=(a+b)/2a+b=2A
The geometric mean of a and b is G=
So the equation becomes x2-2Ax+G2=0
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