Number Theory – Page 17

What-is-reminder-when-4-29-divided-by-17-

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Question Number 114401 by bemath last updated on 19/Sep/20 $W h a t i s r e m i n d e r w h e n 4^{29}$ $d i v i d e d b y 17$ Answered by bobhans last updated on 19/Sep/20 $b e c a u s e 16 = 4^{2} \equiv - 1 (m o d 17)$ $${we}\:{have}\:\mathrm{4}^{\mathrm{4}}…

find-four-numbers-such-that-the-sum-of-every-two-and-the-sum-of-all-four-should-be-perfect-squaresk-

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Question Number 48616 by amankumar last updated on 26/Nov/18 $f i n d f o u r n u m b e r s s u c h t h a t t h e s u m o f e v e r y t w o a n d t h e s u m o f a l l f o u r s h o u l d b e p e r f e c t s q u a r e s k$ Commented by MJS last updated on 26/Nov/18 $a \neq b \neq c \neq d ?$ $a, b, c, d \in N or \in Z ? \neq 0 ?$ $$\mathrm{please}\:\mathrm{make}\:\mathrm{it}\:\mathrm{clear} \…

Question-114130

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Question Number 114130 by bemath last updated on 17/Sep/20 Commented by mr W last updated on 17/Sep/20 $z = 2 :$ $\overset{―}{x 2} \times \overset{―}{4 y 2} = 7344$ $$\left(\mathrm{10}{x}+\mathrm{2}\right)\left(\mathrm{400}+\mathrm{10}{y}+\mathrm{2}\right)=\mathrm{7344} \…

Does-anyone-know-a-good-website-for-nested-radicals-7-20-1-3-19-1-6-5-3-1-3-2-3-1-3-

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Question Number 113221 by frc2crc last updated on 11/Sep/20 $D o e s a n y o n e k n o w a g o o d$ $w e b s i t e f o r n e s t e d r a d i c a l s ?$ $\sqrt[6]{7 \sqrt[3]{20} - 19} = \sqrt[3]{5 / 3} - \sqrt[3]{2 / 3}$ Commented by Dwaipayan Shikari last updated on 11/Sep/20 $$\sqrt{{x}}+\sqrt{{y}}=\sqrt{\mathrm{7}+\sqrt{\mathrm{2}}}…

Change-the-following-decimal-number-into-binary-number-73-108-

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Question Number 113199 by Rasheed.Sindhi last updated on 11/Sep/20 $C h a n g e t h e f o l l o w i n g d e c i m a l$ $n u m b e r i n t o b i n a r y n u m b e r :$ $73.108$ Commented by bemath last updated on 11/Sep/20 $$\mathrm{what}\:\mathrm{is}\:\mathrm{binary}\:\mathrm{one}\:\mathrm{sir}? \…

a-b-c-N-such-that-a-3-b-b-3-c-Q-show-that-a-2-b-2-c-2-a-b-c-Z-

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Question Number 113187 by bobhans last updated on 11/Sep/20 $a, b, c \in N such that \frac{a \sqrt{3} + b}{b \sqrt{3} + c} \in Q, show$ $that \frac{a^{2} + b^{2} + c^{2}}{a + b + c} \in Z$ Answered by bemath last updated on 11/Sep/20 $$\mathrm{Fact}\::\:\sqrt{\mathrm{3}}\:\notin\mathrm{Q}\:,\:\mathrm{p}+\mathrm{q}\sqrt{\mathrm{3}}\:\in\mathrm{Q}\:\mathrm{if}\:\mathrm{q}=\mathrm{0}…

any-one-can-explain-me-how-to-change-decimal-number-to-biner-number-i-m-forgot-example-315-10-2-thank-you-

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Question Number 113134 by bemath last updated on 11/Sep/20 $any one can explain me how to$ $change decimal number to$ $biner number . i^{'} m forgot .$ $example {(315)}_{10} = {(\dots)}_{2}$ $thank you$ Commented by I want…

Prove-that-GCD-a-b-b-a-b-

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Question Number 113101 by deArchie last updated on 11/Sep/20 $P r o v e t h a t G C D ((a, b), b) = (a, b)$ Commented by MJS_new last updated on 11/Sep/20 $how do you define the \gcd of a number with$ $a pair of numbers ? check the syntax$ Commented…

What-is-the-area-bounded-by-the-curves-arg-z-pi-3-arg-z-2pi-3-and-arg-z-2-2i-3-pi-on-the-complex-plane-

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Question Number 113091 by bobhans last updated on 11/Sep/20 $What is the area bounded by the curves$ $\arg (z) = \frac{π}{3}; \arg (z) = \frac{2 π}{3} and \arg (z - 2 - 2 i \sqrt{3}) = π$ $on the complex plane ?$ Answered by john santu last updated on 11/Sep/20 $$\:\left({i}\right)\:{arg}\:\left({z}\right)\:=\:\frac{\pi}{\mathrm{3}}\:\rightarrow\:\frac{{y}}{{x}}\:=\:\mathrm{tan}\:\left(\frac{\pi}{\mathrm{3}}\right)…

Find-all-positive-integers-n-for-which-5-n-1-is-divisible-by-7-

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Question Number 113073 by bobhans last updated on 11/Sep/20 $Find all positive integers n for$ $which 5^{n} + 1 is divisible by 7$ Answered by john santu last updated on 11/Sep/20 $$\:\:{find}\:{all}\:{positive}\:{integers}\:{n}\:{such} \…

Category: Number Theory