Question Number 186124 by Rupesh123 last updated on 01/Feb/23 Commented by MJS_new last updated on 01/Feb/23 $$\mathrm{3}^{\mathrm{2}} +\mathrm{4}^{\mathrm{2}} =\mathrm{25}\:\Rightarrow\:\mathrm{I}\:\mathrm{guess}\:{y}\in\left\{\mathrm{3},\:\mathrm{4}\right\} \\ $$$$\mathrm{with}\:{y}=\mathrm{4}\:\Rightarrow\:{x}=\frac{\mathrm{215}}{\mathrm{106}}\pm\frac{\mathrm{27}\sqrt{\mathrm{17}}}{\mathrm{106}}\mathrm{i} \\ $$$$\Rightarrow\:{y}=\mathrm{3} \\ $$…
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Question Number 55039 by behi83417@gmail.com last updated on 16/Feb/19 $$\alpha\:{and}\:\beta,{are}\:\mathrm{2}\:{roots}\:{of}\:{eq}: \\ $$$$\:\:\:\:{ax}^{\mathrm{2}} +{bx}+{c}=\mathrm{0}\:{with}\:{conditions}: \\ $$$$\:\:\:\:\begin{cases}{\alpha^{\mathrm{2}} =\beta+{b}}\\{\beta^{\mathrm{2}} =\alpha+{a}}\end{cases} \\ $$$${find}:\:\:\boldsymbol{{c}}\:{in}\:{terms}\:{of}:\:\boldsymbol{{a}}\:\:{and}\:\:\boldsymbol{{b}}. \\ $$ Commented by mr W…
Question Number 186105 by HeferH last updated on 01/Feb/23 $$\:{a}^{\mathrm{2}} \:+\:\mathrm{1}\:\:=\:{a} \\ $$$$\:{a}^{\mathrm{12}} \:+\:{a}^{\mathrm{6}} \:+\:\mathrm{1}\:=\:?\: \\ $$ Answered by Rasheed.Sindhi last updated on 01/Feb/23 $${a}^{\mathrm{2}}…
Question Number 186099 by akuba last updated on 01/Feb/23 $$\mathrm{1}.\:{Solve}\:{for}\:{the}\:{linear}\:{system}: \\ $$$${x}−\mathrm{2}{y}+\mathrm{3}{z}=\mathrm{5} \\ $$$$\mathrm{2}{x}+{y}−\mathrm{4}{z}=\mathrm{0} \\ $$$$\mathrm{3}{x}+\mathrm{4}{y}−\mathrm{11}{z}=−\mathrm{5} \\ $$$$\mathrm{2}.\:{Ghana}\:{railways}\:{co}−{operation}\:{has}\:\mathrm{20}\: \\ $$$${trains}\:{for}\:{it}'{s}\:{operations}.\:{It}\:{is}\:{observed}\:{that} \\ $$$${x}\:{trains}\:{can}\:{accommodate}\:\mathrm{2}\:{passengers}, \\ $$$${y}\:{trains}\:\mathrm{3}\:{passengers}\:{and}\:{z}\:{trains}\:\mathrm{5}\: \\…
Question Number 120558 by peter frank last updated on 01/Nov/20 Answered by mr W last updated on 01/Nov/20 $${from} \\ $$$${e}^{{i}\theta} =\mathrm{cos}\:\theta+{i}\:\mathrm{sin}\:\theta \\ $$$${e}^{−{i}\theta} =\mathrm{cos}\:\theta−{i}\:\mathrm{sin}\:\theta…
Question Number 120556 by bobhans last updated on 01/Nov/20 Commented by bobhans last updated on 01/Nov/20 $$\mathrm{The}\:\mathrm{graph}\:\mathrm{y}=\sqrt{\mathrm{x}}\:\mathrm{and}\:\mathrm{y}=\mathrm{5}−\mathrm{x}^{\mathrm{2}} \:\mathrm{intersect}\:\mathrm{at} \\ $$$$\mathrm{one}\:\mathrm{point}\:\mathrm{x}=\mathrm{r}\:.\:\mathrm{use}\:\mathrm{newton}\:\mathrm{method} \\ $$$$\mathrm{to}\:\mathrm{estimate}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{r}\:\mathrm{to} \\ $$$$\mathrm{four}\:\mathrm{decimal}\:\mathrm{places} \\…
Question Number 55014 by Rio Mike last updated on 16/Feb/19 $${what}\:{is}\:{the}\:{value}\:{of}\:{t}\:{that}\:{makes}\: \\ $$$${x}^{\mathrm{2}} +\mathrm{10}{x}+{t}\:{a}\:{perfect}\:{square}? \\ $$$$ \\ $$$$ \\ $$$$ \\ $$ Answered by peter…
Question Number 55011 by tm888 last updated on 16/Feb/19 $$\underset{{k}={o}} {\overset{{n}−\mathrm{1}} {\sum}}\frac{\mathrm{1}}{\mathrm{2}−{x}^{{k}} }\:\:\:\:{find}\:{out}\:{the}\:{summetion} \\ $$$$ \\ $$ Commented by Meritguide1234 last updated on 16/Feb/19 $$\mathrm{no}\:\mathrm{closed}\:\mathrm{form}\:\mathrm{possible}…