If arithmetic mean of two numbers a and b is 8 and ab=9 find a quadratic equation whose roots are a and b
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Arithmetic mean=(a+b)/2=8
So a+b=16 and ab=9 (Given)
So the quadratic equation is
x^2-(a+b)x+ab=0
So we get the required quadratic equation as x^2-16x+9=0
So a+b=16 and ab=9 (Given)
So the quadratic equation is
x^2-(a+b)x+ab=0
So we get the required quadratic equation as x^2-16x+9=0
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