Category: Algebra

Question Number 112528 by dw last updated on 08/Sep/20 $$If\frac{n-7}{n-17}and\frac{n-14}{n-24}areintegersnumbers$$$$n=?$$ Commented by Dwaipayan Shikari last updated on 08/Sep/20 $$1+\frac{10}{n-17}n(7,12,18,22,27)$$$$\frac{{n}−\mathrm{10}}{{n}−\mathrm{24}}=\mathrm{1}+\frac{\mathrm{14}}{{n}−\mathrm{24}}\:\:\:\:{n}\left(\mathrm{10},\mathrm{31},\mathrm{38}\right)…

Question Number 46978 by rahul 19 last updated on 03/Nov/18 Answered by MrW3 last updated on 03/Nov/18 $$\frac{q}{p}=4-p\Rightarrow p=4-\frac{q}{p}$$$$\frac{r}{q}=4-q\Rightarrow q=4-\frac{r}{q}$$$$\frac{p}{r}=4-r\Rightarrow r=4-\frac{p}{r}$$$$\Rightarrow{p}+{q}+{r}=\mathrm{12}−\left(\frac{{q}}{{p}}+\frac{{r}}{{q}}+\frac{{p}}{{r}}\right)\leqslant\mathrm{12}−\mathrm{3}×\:^{\mathrm{3}} \sqrt{\frac{{q}}{{p}}×\frac{{r}}{{q}}×\frac{{p}}{{r}}}=\mathrm{12}−\mathrm{3}=\mathrm{9}…

Question Number 112509 by I want to learn more last updated on 08/Sep/20 Commented by mr W last updated on 13/Sep/20 $$solutionseeQ113486$$ Terms…

Question Number 46959 by rahul 19 last updated on 03/Nov/18 $$Thereminderwhenpolynomial$$$$1+x^2+x^4+x^6+\dots .+x^{22}isdividedby$$$$1+x^{}+x^2+x^3+\dots ..+x^{11}is=?$$…

Question Number 112478 by dw last updated on 08/Sep/20 $$IfP\left(x\right)=x^3+{ax}^2+bx+c,witha,bandcrealnumbers.$$$$RootsofP\left(x\right)z+3i,z+9iand2z-4,find\mid a+b+c\mid .$$$$\mathit{N}ote:ziscomplexnumber.$$ Answered by floor(10²Eta[1]) last updated on 08/Sep/20…