write the quadratic equation, the arithmetic mean, Geometric mean of whose roots are A and G respectively

### Asked by amanamit818 | 6th Oct, 2019, 11:03: AM

Expert Answer:

### let the roots be a and b
now
a+b=2A
ab=G^{2}
quadratic equation is given by
x^{2} - (sum of roots)x + product of roots = 0
x^{2} - 2Ax + G^{2 }= 0

^{2}

^{2}- (sum of roots)x + product of roots = 0

^{2}- 2Ax + G

^{2 }= 0

### Answered by Arun | 8th Oct, 2019, 03:50: PM

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