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Category: Algebra

If-and-are-different-complex-numbers-with-1-then-1-

Question Number 1331 by a@b.c last updated on 23/Jul/15 $$\mathrm{If}\:\alpha\:\mathrm{and}\:\beta\:\mathrm{are}\:\mathrm{different}\:\mathrm{complex}\:\mathrm{numbers} \\ $$$$\mathrm{with}\:\mid\beta\mid=\mathrm{1}\:\mathrm{then}\:\mid\frac{\beta−\alpha}{\mathrm{1}−\alpha\beta}\mid=? \\ $$ Commented by 123456 last updated on 23/Jul/15 $$\mid\alpha+\beta\mid\leqslant\mid\alpha\mid+\mid\beta\mid \\ $$$$\mid\beta−\alpha\mid\leqslant\mid\beta\mid+\mid\alpha\mid \\…

does-anyone-know-a-practicaly-way-of-finding-results-from-4-3x-2x-2-x-4-1-3x-2-x-5-

Question Number 132390 by bramlexs22 last updated on 14/Feb/21 $$\mathrm{does}\:\mathrm{anyone}\:\mathrm{know}\:\mathrm{a}\:\mathrm{practicaly} \\ $$$$\mathrm{way}\:\mathrm{of}\:\mathrm{finding}\:\mathrm{results}\:\mathrm{from} \\ $$$$\:\left(\mathrm{4}−\mathrm{3x}+\mathrm{2x}^{\mathrm{2}} −\mathrm{x}^{\mathrm{4}} \right)×\left(−\mathrm{1}+\mathrm{3x}^{\mathrm{2}} −\mathrm{x}^{\mathrm{5}} \right)? \\ $$ Answered by EDWIN88 last updated…

f-2x-2-f-x-2-1-0-f-x-

Question Number 1307 by Rasheed Ahmad last updated on 21/Jul/15 $${f}\left(\mathrm{2}{x}\right)−\mathrm{2}\left[\:{f}\left({x}\right)\:\right]^{\mathrm{2}} +\mathrm{1}=\mathrm{0} \\ $$$${f}\left({x}\right)=? \\ $$ Commented by Rasheed Soomro last updated on 22/Jul/15 $$\left({Rasheed}\:{Ahmad}\right)…

Somewhere-there-are-scorpio-snake-and-mouse-We-ascertain-that-Every-morning-each-snake-eats-a-mouse-Every-afternoon-each-scorpio-kills-a-snake-And-every-night-each-mouse-eats-a-scorpio-

Question Number 66833 by ~ À ® @ 237 ~ last updated on 20/Aug/19 $${Somewhere}\:,\:{there}\:{are}\:{scorpio},\:{snake}\:{and}\:{mouse}. \\ $$$${We}\:{ascertain}\:{that}\:: \\ $$$${Every}\:{morning}\:,\:{each}\:{snake}\:{eats}\:{a}\:{mouse}\:. \\ $$$${Every}\:{afternoon}\:,{each}\:{scorpio}\:\:{kills}\:{a}\:{snake}. \\ $$$${And}\:{every}\:{night}\:,\:{each}\:{mouse}\:{eats}\:{a}\:{scorpio}. \\ $$$${Two}\:{weeks}\:{passed}\:{and}\:{we}\:{find}\:{that}\:{there}\:{was}\:{remaining}\:{only}\:{one}\:{animal}\:.…

Question-66827

Question Number 66827 by mr W last updated on 20/Aug/19 Commented by mr W last updated on 20/Aug/19 $${the}\:{graph}\:{above}\:{shows}\:{the}\:{equation} \\ $$$$\frac{\mathrm{ln}\:\left({x}+\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }\right)}{\:\sqrt{\mathrm{1}+{x}^{\mathrm{2}} }}=\frac{\mathrm{ln}\:\left({y}+\sqrt{\mathrm{1}+{y}^{\mathrm{2}} }\right)}{\:\sqrt{\mathrm{1}+{y}^{\mathrm{2}} }}…