Question Number 186253 by ajfour last updated on 02/Feb/23 Commented by ajfour last updated on 02/Feb/23 $${The}\:{curve}\:{is}\:{a}\:\:{cubic}\:\left(\:{y}={x}^{\mathrm{3}} −{x}\right), \\ $$$$\:{and}\:{that}\:\:\mathrm{0}<{c}<\frac{\mathrm{2}}{\mathrm{3}\sqrt{\mathrm{3}}}\:\centerdot \\ $$$${Let}\:{circle}\:{not}\:{necessarily}\:{be}\: \\ $$$${tangent}\:{to}\:{cubic}\:{curve}\:{at}\:\left({q},\:{c}\right). \\…
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Question Number 120711 by TITA last updated on 02/Nov/20 $${show}\:{that}\:\mathrm{1}+\mathrm{2}+\mathrm{3}+\mathrm{4}…=\frac{−\mathrm{1}}{\mathrm{8}} \\ $$ Answered by Dwaipayan Shikari last updated on 02/Nov/20 $${S}=\mathrm{1}+\mathrm{2}+\mathrm{3}+\mathrm{4}+\mathrm{5}+\mathrm{6}+… \\ $$$${S}=\:\mathrm{1}+\left(\mathrm{2}+\mathrm{3}+\mathrm{4}\right)+\left(\mathrm{5}+\mathrm{6}+\mathrm{7}\right)+\left(\mathrm{8}+\mathrm{9}+\mathrm{10}\right)+… \\ $$$${S}=\mathrm{1}+\mathrm{9}+\mathrm{18}+\mathrm{27}+\mathrm{36}+..…
Question Number 186241 by a.lgnaoui last updated on 02/Feb/23 $${x}+\frac{\mathrm{1}}{{x}}=\frac{−\mathrm{1}+\sqrt{\mathrm{5}}}{\mathrm{2}} \\ $$$${x}? \\ $$ Commented by MJS_new last updated on 02/Feb/23 $$\mathrm{are}\:\mathrm{you}\:\mathrm{unable}\:\mathrm{to}\:\mathrm{solve}\:\mathrm{a}\:\mathrm{simple}\:\mathrm{quadratic}? \\ $$ Commented…
Question Number 186232 by mustafazaheen last updated on 02/Feb/23 $$\mathrm{1}+\frac{{x}}{\mathrm{1}+\frac{{x}}{\mathrm{1}+\frac{{x}}{\centerdot_{\centerdot_{\centerdot} } }}}=\mathrm{5}\:\:\:\:\:\:\:\:\:{x}=? \\ $$ Answered by gungun last updated on 02/Feb/23 $$\mathrm{1}+\frac{{x}}{\mathrm{5}}=\mathrm{5} \\ $$$${x}=\mathrm{20} \\…
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Question Number 120636 by TANMAY PANACEA last updated on 01/Nov/20 $${selective}\:{Binomial} \\ $$ Commented by TANMAY PANACEA last updated on 01/Nov/20 Commented by TANMAY PANACEA…
Question Number 186163 by Rupesh123 last updated on 01/Feb/23 Answered by Frix last updated on 01/Feb/23 $${x}=\pm\mathrm{4} \\ $$ Answered by aba last updated on…
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Question Number 55076 by gunawan last updated on 17/Feb/19 $$\mathrm{Known}\:\mathrm{polynom} \\ $$$$\mathrm{P}\left({z}\right)={a}_{\mathrm{0}} {z}^{{n}} +{a}_{\mathrm{1}} {z}^{{n}−\mathrm{1}} +\ldots+{a}_{{n}\:} \mathrm{With} \\ $$$$\mathrm{explain}\:\mathrm{real}\:\mathrm{number}.\:\mathrm{If}\:{z}_{\mathrm{0}} =\mathrm{3}−\mathrm{4}{i} \\ $$$$\mathrm{form}\:\mathrm{root}\:\mathrm{is}\:\mathrm{from}\:\mathrm{polynom}, \\ $$$$\mathrm{then}\:\mathrm{one}\:\mathrm{other}\:\mathrm{root}\:\mathrm{defonitely}\:\mathrm{appeared} \\…