Category: Algebra

Question Number 211509 by RojaTaniya last updated on 11/Sep/24 Answered by A5T last updated on 11/Sep/24 $$\frac{6a+b}{6c+d}=k=\frac{5a+b}{5c+d}$$$$\Rightarrow 6a+b=6ck+dk\dots \left(i\right);5a+b=5ck+dk\dots \left(ii\right)$$$$\left(i\right)-\left(ii\right)\Rightarrow a=ck;6\left(ii\right)-5\left(i\right)\Rightarrow b=dk$$$$7a+b=8(7c+d)\Rightarrow 7ck+dk=8(7c+d)$$$$\Rightarrow{k}=\frac{\mathrm{8}\left(\mathrm{7}{c}+{d}\right)}{\mathrm{7}{c}+{d}}=\mathrm{8}…

Question Number 211485 by MATHEMATICSAM last updated on 10/Sep/24 $$\mathrm{If}\frac{a-b}{c}+\frac{b-c}{a}+\frac{c+a}{b}=1\mathrm{and}$$$$a-b+c\ne 0\mathrm{then}\mathrm{prove}\mathrm{that}$$$$\frac{1}{a}=\frac{1}{b}+\frac{1}{c}.$$ Answered by Frix last updated on 10/Sep/24 $$\frac{{a}−{b}}{{c}}+\frac{{b}−{c}}{{a}}+\frac{{c}+{a}}{{b}}=\mathrm{1} \…

Question Number 211482 by RojaTaniya last updated on 10/Sep/24 $${25}^{(\frac{1}{2}+{log}_{\frac{1}{2}}27+{log}_{25}27)}=?$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 211437 by necx122 last updated on 09/Sep/24 Commented by AlagaIbile last updated on 09/Sep/24 $$Ipostedthequestionon$$$$CowbellpediaWhatshappgrouptwo$$$$hoursago.Howdiditreachhere?$$ Answered by…

Question Number 211402 by efronzo1 last updated on 08/Sep/24 Answered by A5T last updated on 08/Sep/24 $$Q211029,wecanfindapolynomialf\left(x\right)$$$$f\left(x\right)=x^n\underset{-}{+}1$$$${f}\left(\mathrm{3}\right)=\mathrm{28}\Rightarrow{f}\left({x}\right)={x}^{\mathrm{3}} +\mathrm{1} \…