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Category: Algebra

can-you-find-f-x-f-x-f-1-x-x-

Question Number 176083 by Linton last updated on 11/Sep/22 $${can}\:{you}\:{find}\:{f}\left({x}\right)? \\ $$$${f}\left({x}\right)−{f}\left(\mathrm{1}−{x}\right)=\:{x} \\ $$ Answered by Rasheed.Sindhi last updated on 11/Sep/22 $${f}\left({x}\right)−{f}\left(\mathrm{1}−{x}\right)=\:{x}\:\:\:\:\:\:\:{f}\left({x}\right)? \\ $$$${Replace}\:{x}\:{by}\:\mathrm{1}−{x}: \\…

If-a-b-a-b-13-Find-2a-b-

Question Number 176037 by Shrinava last updated on 11/Sep/22 $$\mathrm{If}\:\:\:\left(\mathrm{a}−\mathrm{b}\right)\left(\mathrm{a}\:+\:\mathrm{b}\right)\:=\:\mathrm{13} \\ $$$$\mathrm{Find}\:\:\:\mathrm{2a}\:+\:\mathrm{b}\:=\:? \\ $$ Commented by Rasheed.Sindhi last updated on 11/Sep/22 $$\mathrm{20} \\ $$ Answered…

Find-the-sum-of-the-nth-term-of-the-series-1-1-2-3-1-4-5-6-1-7-8-9-

Question Number 44965 by Tawa1 last updated on 06/Oct/18 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{nth}\:\mathrm{term}\:\mathrm{of}\:\mathrm{the}\:\mathrm{series}:\:\:\:\:\frac{\mathrm{1}}{\mathrm{1}.\mathrm{2}.\mathrm{3}}\:+\:\frac{\mathrm{1}}{\mathrm{4}.\mathrm{5}.\mathrm{6}}\:+\:\frac{\mathrm{1}}{\mathrm{7}.\mathrm{8}.\mathrm{9}}\:\:+\:…\: \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

e-ipi-1-

Question Number 110490 by ManojMaity last updated on 29/Aug/20 $$ \\ $$$${e}^{\mathrm{i}\pi} \:=\:−\mathrm{1} \\ $$ Answered by nimnim last updated on 29/Aug/20 $$\mathrm{We}\:\mathrm{have},\:\:\:\mathrm{e}^{{i}\mathrm{x}} =\mathrm{cosx}+{i}\mathrm{sinx}\: \\…

the-sum-of-all-x-values-x-2-6x-9-x-3-x-1-x-3-x-4-

Question Number 110471 by abdullahquwatan last updated on 29/Aug/20 $$\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{all}\:\mathrm{x}\:\mathrm{values} \\ $$$$\left({x}^{\mathrm{2}} −\mathrm{6}{x}+\mathrm{9}\right)^{\frac{{x}−\mathrm{3}}{{x}−\mathrm{1}}} \:=\:\left({x}−\mathrm{3}\right)^{\left({x}−\mathrm{4}\right)} \\ $$ Answered by Rasheed.Sindhi last updated on 29/Aug/20 $$\left({x}^{\mathrm{2}} −\mathrm{6}{x}+\mathrm{9}\right)^{\frac{{x}−\mathrm{3}}{{x}−\mathrm{1}}}…

Find-the-gcd-n-1-n-1-

Question Number 110463 by Rio Michael last updated on 29/Aug/20 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{gcd}\left({n}−\mathrm{1},{n}+\mathrm{1}\right) \\ $$ Commented by mr W last updated on 29/Aug/20 $${if}\:{n}={odd}\:{then}\:{gcd}\left({n}−\mathrm{1},{n}+\mathrm{1}\right)=\mathrm{2} \\ $$$${if}\:{n}={even}\:{then}\:{gcd}\left({n}−\mathrm{1},{n}+\mathrm{1}\right)=\mathrm{1} \\…

Find-the-sum-to-n-terms-of-1-1-2-3-3-2-3-4-5-3-4-5-

Question Number 44918 by Tawa1 last updated on 06/Oct/18 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{to}\:\mathrm{n}\:\mathrm{terms}\:\mathrm{of}:\:\:\:\:\frac{\mathrm{1}}{\mathrm{1}.\mathrm{2}.\mathrm{3}}\:+\:\frac{\mathrm{3}}{\mathrm{2}.\mathrm{3}.\mathrm{4}}\:+\:\frac{\mathrm{5}}{\mathrm{3}.\mathrm{4}.\mathrm{5}}\:+\:…\: \\ $$ Commented by maxmathsup by imad last updated on 06/Oct/18 $${let}\:\:{S}\:=\:\sum_{{n}=\mathrm{1}} ^{\infty} \:\:\frac{\mathrm{2}{n}−\mathrm{1}}{{n}\left({n}+\mathrm{1}\right)\left({n}+\mathrm{2}\right)}\:\:{we}\:{have}\:{S}\:=\frac{\mathrm{1}}{\mathrm{1}.\mathrm{2}.\mathrm{3}}\:+\frac{\mathrm{3}}{\mathrm{2}.\mathrm{3}.\mathrm{4}}\:+… \\…