Category: Algebra

Question Number 140442 by EnterUsername last updated on 07/May/21 $$\mathrm{If}{z}_1\mathrm{and}{z}_2\mathrm{are}\mathrm{complex}\mathrm{numbers}\mathrm{such}\mathrm{that}\mid z_2\mid \ne 1\mathrm{and}$$$$\mid (z_1-2z_2)/(2-z_1{\overline{z}}_2)\mid =1,\mathrm{then}\mid z_1\mid \mathrm{is}\mathrm{equal}\mathrm{to}\mathrm{\_}\mathrm{\_}\mathrm{\_}\mathrm{\_}\mathrm{\_}.$$ Answered by…

Question Number 140430 by ajfour last updated on 07/May/21 $$(1+2x)(x^2+1){(x^4+x^3-2x^2+5x+1)}^2$$$$=\{(x^3-2x^2+x+1)(x+1)(x^2+1)$$$${-x^2(1+2x)(x+3)\}}^2$$$${Any}\:{good}\:{non}-{zero}\:{real}\:{solution} \…

Question Number 140417 by mathsuji last updated on 07/May/21 $$ifminimumvalueof$$$$g(a;b)=\sqrt{a^2+b^2-10a-10b+50}+\sqrt{b^2-4y+20}+$$$$+\sqrt{a^2-14a+74}$$$$isnandoccursata=\gamma ,b=\delta ,thefind$$$$(n+4\gamma +3\delta )=?$$ Answered…

Question Number 9342 by FilupSmith last updated on 01/Dec/16 $$\mathrm{Solve}\mathrm{for}n$$$$n^2⩾n^3-1$$ Answered by mrW last updated on 02/Dec/16 $$\mathrm{n}^{\mathrm{3}} −\mathrm{n}^{\mathrm{2}}…

Question Number 9324 by uchechukwu okorie favour last updated on 30/Nov/16 $$ifx=\frac{a(1-r^n)}{1-r}makerthe$$$$subjectoftheformula$$ Answered by mrW last updated on 30/Nov/16 $$\mathrm{let}\:\mathrm{k}=\frac{\mathrm{x}}{\mathrm{a}}…