InterviewSolution
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InterviewSolution
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If `alpha, beta , gamma, delta` are the roots of the equation `x^4+x^2+1=0` then the equation whose roots are `alpha^2, beta^2, gamma^2, delta^2` is |
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Answer» let `x^2=t` `t^2+t+1` `1+w+w^2=0` `x=e^(ipi/3),-e^(ipi/3),e^(i2.3pi)...` `alpha^2beta^2gamma^2rho^2=e^(12/3pi)...` `w^6=1` `alpha^2+beta^2+gamma^2+rho^2=e^(i2/3pi),e^(i2/3pi)+e^(i4/3pi+e^(i4/3pi)` `=2(w+w^2)=-2` option b is correct. |
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