Category: Algebra

Question Number 190704 by mathlove last updated on 09/Apr/23 $$f(x+y)=f\left(x\right)+f\left(y\right)+x\cdot y$$$$f\left(4\right)=10findef\left(2022\right)=?$$ Answered by mahdipoor last updated on 09/Apr/23 $$f(n+1)=\left[f\left(n\right)\right]+f\left(1\right)+n=$$$$\left[{f}\left({n}−\mathrm{1}\right)+{f}\left(\mathrm{1}\right)+\left({n}−\mathrm{1}\right)\right]+{f}\left(\mathrm{1}\right)+{n}=… \…

Question Number 59614 by hhghg last updated on 12/May/19 $$1\frac{1}{7}+1\frac{1}{14}$$ Answered by Forkum Michael Choungong last updated on 12/May/19 $$=2\frac{2+1}{14}$$$$=\:\mathrm{2}\frac{\mathrm{3}}{\mathrm{14}} \…

Question Number 125136 by Snail last updated on 08/Dec/20 $$Supposea,b,carenonzerorealnumbers$$$$satisfying{(ab+bc+ca)}^3=abc{(a+b+c)}^3.$$$$Provdthata,b,cmustbetermsofaGeometric$$$$Progession$$$$$$ Commented by Snail…

Question Number 125131 by Snail last updated on 03/Jun/21 $$Leta,b,c\in complexnumberssuchthattheroots$$$$oftheequation{ax}^2+bx+c=0havesamemodulus$$$$Provethata=0iffb=0$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 59581 by Rasheed.Sindhi last updated on 12/May/19 $$\mathcal{D}eterminea,b,cintermsof\alpha ,\beta ,\gamma .$$$$ab+c=\gamma$$$$bc+a=\alpha$$$$ca+b=\beta$$ Answered by mr W last updated on…