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Category: Algebra

Question-183076

Question Number 183076 by Engr_Jidda last updated on 19/Dec/22 Answered by TheSupreme last updated on 21/Dec/22 $${t}\:=\:{tan}\left({x}\right) \\ $$$$\mathrm{10}\geqslant{t}\geqslant\frac{\mathrm{7}}{\mathrm{3}} \\ $$$$\left({t}−\mathrm{2}\right)^{\pi} +\left({t}+\mathrm{5}\right)^{\pi} =\left(\mathrm{3}{t}−\mathrm{7}\right)^{\pi} +\left(\mathrm{10}−{t}\right)^{\pi} \\…

Solve-x-4-log-5-50x-x-6-

Question Number 52007 by Tawa1 last updated on 02/Jan/19 $$\mathrm{Solve}:\:\:\:\:\:\:\:\:\:\:\left(\frac{\boldsymbol{\mathrm{x}}}{\mathrm{4}}\right)^{\boldsymbol{\mathrm{log}}_{\mathrm{5}} \mathrm{50}\boldsymbol{\mathrm{x}}} \:\:\:=\:\:\:\:\boldsymbol{\mathrm{x}}^{\mathrm{6}} \\ $$ Answered by MJS last updated on 02/Jan/19 $$\left(\frac{{x}}{\mathrm{4}}\right)^{\mathrm{log}_{\mathrm{5}} \:\mathrm{50}{x}} ={x}^{\mathrm{6}} \\…

Find-the-equation-of-the-line-which-passes-through-the-point-3-5-and-is-tangent-to-the-circle-x-1-2-y-1-2-4-

Question Number 183044 by depressiveshrek last updated on 19/Dec/22 $${Find}\:{the}\:{equation}\:{of}\:{the}\:{line}\:{which} \\ $$$${passes}\:{through}\:{the}\:{point}\:\left(\mathrm{3},\:\mathrm{5}\right) \\ $$$${and}\:{is}\:{tangent}\:{to}\:{the}\:{circle} \\ $$$$\left({x}−\mathrm{1}\right)^{\mathrm{2}} +\left({y}−\mathrm{1}\right)^{\mathrm{2}} =\mathrm{4} \\ $$ Answered by mr W last…

Find-12-2-35-10-2-21-

Question Number 183041 by Shrinava last updated on 18/Dec/22 $$\mathrm{Find}: \\ $$$$\sqrt{\mathrm{12}−\mathrm{2}\sqrt{\mathrm{35}}}\:\:−\:\:\sqrt{\mathrm{10}−\mathrm{2}\sqrt{\mathrm{21}}}\:\:=\:\:? \\ $$ Answered by HeferH last updated on 18/Dec/22 $$\:\sqrt{\mathrm{12}−\mathrm{2}\sqrt{\mathrm{35}}}\:=\:\sqrt{\left(\sqrt{\mathrm{7}}\right)^{\mathrm{2}} \:+\:\left(\sqrt{\mathrm{5}}\right)^{\mathrm{2}} −\mathrm{2}\sqrt{\mathrm{7}}\centerdot\sqrt{\mathrm{5}}}\:\: \\…

m-2-4m-4-m-2n-8-1-4-0-n-

Question Number 182999 by Shrinava last updated on 18/Dec/22 $$\sqrt{\mathrm{m}^{\mathrm{2}} −\mathrm{4m}+\mathrm{4}}\:+\:\sqrt[{\mathrm{4}}]{\mathrm{m}−\mathrm{2n}+\mathrm{8}}\:=\:\mathrm{0} \\ $$$$\mathrm{n}\:=\:? \\ $$ Answered by cortano1 last updated on 18/Dec/22 $$\:\mid{m}−\mathrm{2}\mid\:+\sqrt[{\mathrm{4}}]{{m}−\mathrm{2}{n}+\mathrm{8}}\:=\:\mathrm{0} \\ $$$$\:\begin{cases}{{m}=\mathrm{2}}\\{\sqrt[{\mathrm{4}}]{\mathrm{10}−\mathrm{2}{n}}\:=\:\mathrm{0}\:\Rightarrow{n}=\mathrm{5}\:}\end{cases}…

find-the-value-of-1-1-1-1-i-1-i-1-i-pls-help-

Question Number 51922 by aseerimad last updated on 01/Jan/19 $${find}\:{the}\:{value}\:{of}… \\ $$$$\:\:\:\:\:\:\:\:\:\mathrm{1}−\frac{\mathrm{1}}{\mathrm{1}+\frac{\mathrm{1}}{\frac{{i}}{\mathrm{1}+\frac{{i}}{\mathrm{1}+{i}}}}} \\ $$$${pls}\:{help}. \\ $$ Answered by ajfour last updated on 01/Jan/19 $$\mathrm{1}+\frac{{i}}{\mathrm{1}+{i}}\:=\:\mathrm{1}+\frac{{i}\left(\mathrm{1}−{i}\right)}{\mathrm{2}}\:=\:\frac{\mathrm{3}+{i}}{\mathrm{2}} \\…