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Points of Discontinuity

if alpha and ...

Question

if alpha and beta are the roots of the equation e^2.x^lnx=x^3 with alpha>beta and alpha^m=beta^n where m and n are coprime to each other then find m.n is equal to

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α, β

are the roots of the equation

u^{2} - 2 u + 2 = 0

cot θ = x + 1

[(x + α)^{n} - (x + β)^{m}] / [α - β]

α, β

are the roots of the equation

x^{2} - 2 x + 2 = 0

c o t θ = x + 1,

\frac{[(x + α)^{n} - (x + β)^{n}]}{[α - β]}

α, β

are the roots of the equation

l x^{2} + m x + n = 0

, then the equation whose roots are

α^{3} β

α β^{3}

Q. Find the equation whose roots are

{(α + β)}^{2} a n d {(α - β)}^{2},

α

β

are the roots of

2 x^{2} + 2 (m + n) x + (m^{2} + n^{2}) = 0.

α

β

are the roots of the equation

x^{2} - 6 x + 6 = 0

α^{3} + β^{3} + α^{2} + β^{2} + α + β

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