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Category: Algebra

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}} \\…

Question-182973

Question Number 182973 by HeferH last updated on 17/Dec/22 Answered by Rasheed.Sindhi last updated on 18/Dec/22 $${x}^{\mathrm{2}} +{x}+\mathrm{1}=\mathrm{0}\:;\:\underset{{n}=\mathrm{1}} {\overset{\mathrm{27}} {\Sigma}}\left({x}^{{n}} +\frac{\mathrm{1}}{{x}^{{n}} }\right)^{\mathrm{2}} =? \\ $$$$\left({x}^{{n}}…

If-a-lt-b-lt-0-then-a-b-a-b-ab-

Question Number 182947 by myint last updated on 17/Dec/22 $$\mathrm{If}\:\:\mathrm{a}<\:\mathrm{b}<\mathrm{0},\:\:\mathrm{then}\:\:\mid\mathrm{a}−\mathrm{b}\mid\:+\:\mid\mathrm{a}+\mathrm{b}\mid\:+\:\mid\mathrm{ab}\mid= \\ $$ Commented by mr W last updated on 17/Dec/22 $$\neq{constant}\:{value}! \\ $$$${could}\:{be}\:{any}\:{positive}\:{value}! \\ $$…