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AllQuestion and Answers: Page 350

Question Number 185800 Answers: 2 Comments: 0

Question Number 185799 Answers: 1 Comments: 1

Question Number 185794 Answers: 2 Comments: 1

Question Number 185793 Answers: 2 Comments: 0

Question Number 185786 Answers: 0 Comments: 0

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Question Number 185780 Answers: 0 Comments: 0

find all solutions for k!m!=n! (k,m,n∈N) (m≥k>1)

$${find}\:{all}\:{solutions}\:{for} \\ $$$${k}!{m}!={n}! \\ $$$$\left({k},{m},{n}\in\mathbb{N}\right) \\ $$$$\left({m}\geqslant{k}>\mathrm{1}\right) \\ $$

Question Number 185776 Answers: 3 Comments: 0

Question Number 185774 Answers: 2 Comments: 0

Question Number 185770 Answers: 1 Comments: 0

Question Number 185768 Answers: 1 Comments: 0

Question Number 185764 Answers: 2 Comments: 0

If f(x)=−(x^2 /8)+x−(a/8)−1 has 2 diffrent real roots in ((√(7a)),+∞), find the range of a>0.

$$\mathrm{If}\:{f}\left({x}\right)=−\frac{{x}^{\mathrm{2}} }{\mathrm{8}}+{x}−\frac{{a}}{\mathrm{8}}−\mathrm{1}\:\mathrm{has}\:\mathrm{2}\:\mathrm{diffrent}\:\mathrm{real} \\ $$$$\mathrm{roots}\:\mathrm{in}\:\left(\sqrt{\mathrm{7}{a}},+\infty\right),\:\mathrm{find}\:\mathrm{the}\:\mathrm{range}\:\mathrm{of}\:{a}>\mathrm{0}. \\ $$

Question Number 185760 Answers: 1 Comments: 0

A=2×10^0 +10^(−1) +6×10^(−2) +6×10^(−3) +6×10^(−4) +.... (A/(13))=?

$${A}=\mathrm{2}×\mathrm{10}^{\mathrm{0}} +\mathrm{10}^{−\mathrm{1}} +\mathrm{6}×\mathrm{10}^{−\mathrm{2}} +\mathrm{6}×\mathrm{10}^{−\mathrm{3}} +\mathrm{6}×\mathrm{10}^{−\mathrm{4}} +.... \\ $$$$\frac{{A}}{\mathrm{13}}=? \\ $$

Question Number 185754 Answers: 0 Comments: 0

Question Number 185752 Answers: 0 Comments: 1

Question Number 185747 Answers: 0 Comments: 0

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Question Number 185734 Answers: 4 Comments: 0

x = (√(8 + (√(40 + 8 (√5))))) y = (√(8 − (√(40 + 8 (√5))))) Find: x^6 + y^6 = ?

$$\mathrm{x}\:=\:\sqrt{\mathrm{8}\:+\:\sqrt{\mathrm{40}\:+\:\mathrm{8}\:\sqrt{\mathrm{5}}}} \\ $$$$\mathrm{y}\:=\:\sqrt{\mathrm{8}\:−\:\sqrt{\mathrm{40}\:+\:\mathrm{8}\:\sqrt{\mathrm{5}}}} \\ $$$$\mathrm{Find}:\:\:\:\mathrm{x}^{\mathrm{6}} \:+\:\mathrm{y}^{\mathrm{6}} \:=\:? \\ $$

Question Number 185733 Answers: 0 Comments: 0

Question Number 185732 Answers: 1 Comments: 0

Question Number 185731 Answers: 0 Comments: 0

Question Number 185729 Answers: 1 Comments: 8

Question Number 185728 Answers: 1 Comments: 0

(x−2013)!=6!7! x=??

$$\left(\mathrm{x}−\mathrm{2013}\right)!=\mathrm{6}!\mathrm{7}! \\ $$$$\mathrm{x}=?? \\ $$

Question Number 185727 Answers: 0 Comments: 0

Question Number 185723 Answers: 1 Comments: 0

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