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if the equation `x^(4)-4x^(3)+ax^(2)+bx+1=0` has four positive roots, then find a. |
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Answer» Correct Answer - 6 `x^(4)-4x^(3)+ax^(2)+bx+1=0` let root are `alpha,beta,gamma&lamda` `=alpha+beta+gamma+lamda=4` `alphabetagammalamda=1` As all roots are positive `=a.m.gtg.m` `=(alpha+beta+gamma+lamda)/(4)gt(alphabetagammalamda)^((1//4))` all the numbers are equal `alpha=beta=gamma=lamda` `alpha+beta+gamma+lamda=4` `implies4alpha=4impliesalpha=1` `alpha=beta=gamma=lamda=1` |
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