Category: Algebra

Question Number 217359 by ArshadS last updated on 11/Mar/25 $$\mathrm{Find}\mathrm{all}\mathrm{three}-\mathrm{digit}\mathrm{numbers}\mathrm{such}\mathrm{that}\mathrm{when}\mathrm{the}\mathrm{number}\mathrm{is}$$$$\mathrm{divided}\mathrm{by}\mathrm{the}\mathrm{sum}\mathrm{of}\mathrm{its}\mathrm{digits}\mathrm{the}\mathrm{quotient}\mathrm{is}7\mathrm{and}\mathrm{the}$$$$\mathrm{remainder}\mathrm{is}5.$$ Answered by Rasheed.Sindhi last updated on 12/Mar/25 $$\mathrm{100}{h}+\mathrm{10}{t}+{u}=\mathrm{7}\left({h}+{t}+{u}\right)+\mathrm{5} \…

Question Number 217321 by ArshadS last updated on 10/Mar/25 $$\mathrm{Find}\mathrm{three}\mathrm{consecutive}\mathrm{integers}\mathrm{such}\mathrm{that}\mathrm{the}\mathrm{product}\mathrm{of}\mathrm{the}$$$$\mathrm{first}\mathrm{two}\mathrm{is}16\mathrm{more}\mathrm{than}\mathrm{twice}\mathrm{the}\mathrm{third}\mathrm{integer}.\mathrm{Provide}\mathrm{all}$$$$\mathrm{possible}\mathrm{solutions}.$$ Answered by Rasheed.Sindhi last updated on 10/Mar/25 $${let}\:{x}−\mathrm{1},{x},{x}+\mathrm{1}\:{are}\:{required}\:{numbers} \…

Question Number 217299 by peter frank last updated on 09/Mar/25 Answered by mr W last updated on 10/Mar/25 $$x=r\cos \theta$$$$y=r\sin \theta$$$$\left({r}\:\mathrm{cos}\:\theta−\mathrm{1}\right)^{\mathrm{2}} +\left({r}\:\mathrm{sin}\:\theta\right)^{\mathrm{2}} =\mathrm{16}…

Question Number 217262 by ArshadS last updated on 07/Mar/25 $$Solve:$$$$\frac{x^2+3x}{x^3-4x}-\frac{2}{x^2+2x}=\frac{1}{x-2}$$ Answered by ibrahimmatematic last updated on 07/Mar/25 $$\frac{{x}\left({x}+\mathrm{3}\right)}{{x}\left({x}−\mathrm{2}\right)\left({x}+\mathrm{2}\right)}−\frac{\mathrm{2}}{{x}\left({x}+\mathrm{2}\right)}=\frac{\mathrm{1}}{{x}−\mathrm{2}}…

Question Number 217197 by hardmath last updated on 05/Mar/25 $$\mathrm{Find}:$$$$\sqrt[5]{-32}+\sqrt[8]{{(-3)}^8}=?$$ Answered by Rasheed.Sindhi last updated on 05/Mar/25 $$\sqrt[{\mathrm{5}}]{−\mathrm{32}}\:\:+\:\:\sqrt[{\mathrm{8}}]{\left(−\mathrm{3}\right)^{\mathrm{8}} }\: \…