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Let p,q ,r be the elements of R , and r >p>0. If the quadratic equation p(x^2) + qx +r = 0 has two complex roots a and b then |a| + |b| is..

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2 years ago

2069 Points
```							obviously b=a conjugateso |a| + |b|= 2|a| (as modulus of conjugate=modulus of complex no)now, q^2 – 4prthen x=[ –q+-m*i]/2p|x|=root(q^2+m^2)/2p=root(4pr)/2p=root(r/p)so |a| + |b|=2root(r/p)
```
2 years ago
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