InterviewSolution
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InterviewSolution
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The polynomiaal `(a x^2+b x+c)(a x^2-dx-c), a c!=0` hasA. our real rootsB. at least two real rootsC. at most two real rootsD. No real roots |
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Answer» Correct Answer - B Ler `D_(1) and D_(2)` be the discriminants of `ax^(2) + bx + c = 0 and ax^(2) - dx - c = 0` respectively. Then, `D_(1) = b^(2) - 4ac and D_(2) = d^(2) + 4ac` `rArr" "D_(1) + D_(2) = b^(2) + d^(2) gt 0` `rArr" ""At least one of" D_(1) and D_(2)` is positive. Hence, at least one of the equations `ax^(2)+ bx + c = 0 and ax^(2) - dx - c = 0` has real roots. Thus, the given polynomial has at least two real roots. |
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