Mathematics - Sequence & Series Question with Solution | TestHub

MathematicsSequence & SeriesMeans / inequalityMedium2 minQB

MathematicsMediuminteger

If $a, b, c \in N$ , and if $\frac{ax ^{4} - bx ^{3} + cx ^{2} - bx + a}{( x ^{2} + 1 ) ^{2}}$ attains minimum value at $x = 2$ or $1/2$ then the A.M of the least possible values of $a, b$ and $c$ is__________

Answer:

Solution:

Put $x + \frac{1}{x} = ta = 1, b = 4, c = 7, \Rightarrow AM$ is $\frac{1 + 4 + 7}{3} = 4$

Stream:JEESubject:MathematicsTopic:Sequence & SeriesSubtopic:Means / inequality

⏱ 2mℹ️ Source: QB

Doubts & Discussion

Loading discussions...