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Category: Algebra

3-cq-12b-s-2-6c-b-s-8c-2-3b-2-b-0-1-cq-4b-s-2-3c-b-1-cq-12b-s-12c-2-b-2-b-0-solve-simultaneously-for-q-and-s-in-terms-of-b-and-c-

Question Number 92489 by ajfour last updated on 07/May/20 $$\left(\mathrm{3}+\frac{{cq}}{\mathrm{12}{b}}\right){s}^{\mathrm{2}} +\frac{\mathrm{6}{c}}{{b}}{s}+\left(\frac{\mathrm{8}{c}^{\mathrm{2}} }{\mathrm{3}{b}^{\mathrm{2}} }−{b}\right)=\mathrm{0} \\ $$$$\left(\mathrm{1}+\frac{{cq}}{\mathrm{4}{b}}\right){s}^{\mathrm{2}} +\frac{\mathrm{3}{c}}{{b}}\left(\mathrm{1}−\frac{{cq}}{\mathrm{12}{b}}\right){s}+\left(\frac{\mathrm{12}{c}^{\mathrm{2}} }{{b}^{\mathrm{2}} }−{b}\right)=\mathrm{0} \\ $$$${solve}\:{simultaneously}\:{for}\:\boldsymbol{{q}}\:{and}\:\boldsymbol{{s}} \\ $$$${in}\:{terms}\:{of}\:{b}\:{and}\:{c}. \\ $$ Terms…

Question-26942

Question Number 26942 by Mr eaay last updated on 31/Dec/17 Answered by mrW1 last updated on 31/Dec/17 $$\alpha^{\mathrm{3}} −\mathrm{2}\alpha+\mathrm{2}=\mathrm{0} \\ $$$$\beta^{\mathrm{3}} −\mathrm{2}\beta+\mathrm{2}=\mathrm{0} \\ $$$$\gamma^{\mathrm{3}} −\mathrm{2}\gamma+\mathrm{2}=\mathrm{0}…

Prove-that-7-n-1-divide-3-7-n-5-7-n-1-for-any-positive-integers-n-

Question Number 157967 by HongKing last updated on 30/Oct/21 $$\mathrm{Prove}\:\mathrm{that}\:\:\mathrm{7}^{\boldsymbol{\mathrm{n}}+\mathrm{1}} \:\:\mathrm{divide}\:\:\mathrm{3}^{\mathrm{7}^{\boldsymbol{\mathrm{n}}} } \:+\:\mathrm{5}^{\mathrm{7}^{\boldsymbol{\mathrm{n}}} } \:-\:\mathrm{1} \\ $$$$\mathrm{for}\:\mathrm{any}\:\mathrm{positive}\:\mathrm{integers}\:\:\boldsymbol{\mathrm{n}} \\ $$ Terms of Service Privacy Policy Contact:…

Solve-for-real-numbers-4tan-x-sin-5x-cos-5-x-0-

Question Number 157964 by HongKing last updated on 30/Oct/21 $$\mathrm{Solve}\:\mathrm{for}\:\mathrm{real}\:\mathrm{numbers}: \\ $$$$\mathrm{4tan}\left(\mathrm{x}\right)\:+\:\frac{\mathrm{sin}\left(\mathrm{5x}\right)}{\mathrm{cos}^{\mathrm{5}} \left(\mathrm{x}\right)}\:=\:\mathrm{0} \\ $$$$ \\ $$ Commented by tounghoungko last updated on 30/Oct/21 $$\mathrm{sin}\:\left(\mathrm{5}{x}\right)=\mathrm{5sin}\:{x}\:\mathrm{cos}\:^{\mathrm{4}}…

If-A-and-B-are-two-different-number-such-that-A-B-C-and-A-B-C-find-A-and-B-

Question Number 92425 by Jidda28 last updated on 06/May/20 $$\mathrm{If}\:\mathrm{A}\:\mathrm{and}\:\mathrm{B}\:\mathrm{are}\:\mathrm{two} \\ $$$$\mathrm{different}\:\mathrm{number}\:\mathrm{such}\:\mathrm{that} \\ $$$$\mathrm{A}+\mathrm{B}=\mathrm{C}\:\mathrm{and}\:\mathrm{A}×\mathrm{B}=\mathrm{C} \\ $$$$\mathrm{find}\:\mathrm{A}\:\mathrm{and}\:\mathrm{B}. \\ $$ Commented by mr W last updated on…

Question-157957

Question Number 157957 by HongKing last updated on 30/Oct/21 Commented by MJS_new last updated on 31/Oct/21 $$\mathrm{1}\:\mathrm{equation};\:\mathrm{4}\:\mathrm{variables}\:\Rightarrow\:\mathrm{no}\:\mathrm{unique}\:\mathrm{solution} \\ $$ Commented by HongKing last updated on…