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Question Number 173061    Answers: 0   Comments: 0

Calculate and factorize for m ∈ R, The caracteristic polynom of A= (((−2−m),( 5+m),( m)),(( 5),(−2−m),( −m)),(( −5),( 5),( 3)) )

$${Calculate}\:{and}\:{factorize}\:{for}\:{m}\:\in\:\mathbb{R},\: \\ $$$${The}\:{caracteristic}\:{polynom}\:{of} \\ $$$${A}=\begin{pmatrix}{−\mathrm{2}−{m}}&{\:\:\:\mathrm{5}+{m}}&{\:\:\:\:\:{m}}\\{\:\:\:\:\:\:\:\:\mathrm{5}}&{−\mathrm{2}−{m}}&{\:\:−{m}}\\{\:\:\:\:−\mathrm{5}}&{\:\:\:\:\:\:\mathrm{5}}&{\:\:\:\:\:\:\mathrm{3}}\end{pmatrix} \\ $$

Question Number 173058    Answers: 0   Comments: 0

Question Number 173054    Answers: 1   Comments: 3

Question Number 173053    Answers: 0   Comments: 0

Question Number 173051    Answers: 3   Comments: 0

solve (x−2)(x−3)(x−4)(x−6)=5x^2

$${solve} \\ $$$$\left({x}−\mathrm{2}\right)\left({x}−\mathrm{3}\right)\left({x}−\mathrm{4}\right)\left({x}−\mathrm{6}\right)=\mathrm{5}{x}^{\mathrm{2}} \\ $$

Question Number 173048    Answers: 1   Comments: 0

Question Number 173049    Answers: 2   Comments: 0

Question Number 173042    Answers: 2   Comments: 0

Question Number 173033    Answers: 2   Comments: 0

Question Number 173032    Answers: 1   Comments: 0

Question Number 173028    Answers: 2   Comments: 0

Question Number 173027    Answers: 0   Comments: 0

Question Number 173026    Answers: 1   Comments: 0

Question Number 173025    Answers: 1   Comments: 0

Question Number 173024    Answers: 0   Comments: 0

Find A,B⊂N^∗ Such that A∩B=∅ , cardB=cardA+1≥8 and Σ_(x∈A) x^3 = Σ_(x∈B) x^3

$$\mathrm{Find}\:\:\mathrm{A},\mathrm{B}\subset\mathbb{N}^{\ast} \\ $$$$\mathrm{Such}\:\mathrm{that}\:\:\mathrm{A}\cap\mathrm{B}=\varnothing\:,\:\mathrm{cardB}=\mathrm{cardA}+\mathrm{1}\geqslant\mathrm{8} \\ $$$$\mathrm{and}\:\:\underset{\boldsymbol{\mathrm{x}}\in\boldsymbol{\mathrm{A}}} {\sum}\:\mathrm{x}^{\mathrm{3}} \:=\:\underset{\boldsymbol{\mathrm{x}}\in\boldsymbol{\mathrm{B}}} {\sum}\:\mathrm{x}^{\mathrm{3}} \\ $$

Question Number 173018    Answers: 0   Comments: 0

Question Number 173014    Answers: 0   Comments: 0

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Question Number 173008    Answers: 2   Comments: 0

Question Number 173007    Answers: 0   Comments: 1

Question Number 173005    Answers: 0   Comments: 1

Question Number 173004    Answers: 0   Comments: 1

Question Number 173003    Answers: 0   Comments: 0

Question Number 173002    Answers: 1   Comments: 1

Question Number 173001    Answers: 2   Comments: 0

Question Number 173000    Answers: 0   Comments: 1

Question Number 172999    Answers: 1   Comments: 0

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