Category: Algebra

Question Number 145615 by loveineq last updated on 06/Jul/21 $$\mathrm{Let}a,b,c>0\mathrm{and}abc=1.\mathrm{Prove}\mathrm{that}$$$$\frac{a^3}{{(a+1)}^2}+\frac{b^3}{{(b+1)}^2}+\frac{c^3}{{(c+1)}^2}⩾\frac{a+b+c}{4}$$ Commented by justtry last updated…

Question Number 14535 by b.e.h.i.8.3.4.1.7@gmail.com last updated on 01/Jun/17 Commented by b.e.h.i.8.3.4.1.7@gmail.com last updated on 01/Jun/17 $$hellodears.$$$$thisisanancientsystemofequiations$$$$thathavenotsolvedbyanyoneyet.$$$$butithinkbystudingseveralways$$$${that}\:{used}\:{for}\:{solveing}\:{Q}.\mathrm{14157},{now}\:…

Question Number 80053 by mr W last updated on 30/Jan/20 $$Findintegerx,ysuchthat$$$$2^x-y^2=615$$ Commented by john santu last updated on 30/Jan/20…

Question Number 145577 by mathlove last updated on 06/Jul/21 Commented by mr W last updated on 06/Jul/21 $$seeQ145256$$ Answered by puissant last updated…

Question Number 14491 by kailash2177mahto@gmail.com last updated on 01/Jun/17 $$\sqrt{25}$$$$$$ Answered by FilupS last updated on 01/Jun/17 $$25={(\pm 5)}^2$$$$\sqrt{\mathrm{25}}=\sqrt{\left(\pm\mathrm{5}\right)^{\mathrm{2}} }=\pm\mathrm{5}…