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Question Number 178923 by mnjuly1970 last updated on 22/Oct/22 Commented by mr W last updated on 22/Oct/22 $$\frac{\mathrm{6}}{\:\sqrt[{\mathrm{6}}]{\mathrm{108}}}\:? \\ $$ Commented by Frix last updated…
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Question Number 178912 by mr W last updated on 22/Oct/22 $$\mathrm{1}×\mathrm{2}+\mathrm{2}×\mathrm{3}+\mathrm{3}×\mathrm{4}+…+\mathrm{99}×\mathrm{100}=? \\ $$ Answered by Rasheed.Sindhi last updated on 22/Oct/22 $$\mathrm{S}_{{n}} =\underset{{k}=\mathrm{1}} {\overset{{n}} {\Sigma}}{k}\left({k}+\mathrm{1}\right) \\…
Question Number 113372 by Aina Samuel Temidayo last updated on 13/Sep/20 $$\mathrm{2}^{\mathrm{a}} +\mathrm{2}^{\mathrm{b}} +\mathrm{2}^{\mathrm{c}} +\mathrm{2}^{\mathrm{d}} =\mathrm{57},\:\mathrm{find}\:\mathrm{a}+\mathrm{b}+\mathrm{c}+\mathrm{d}. \\ $$$$\mathrm{a}\neq\mathrm{b}\neq\mathrm{c}\neq\mathrm{d}\:\mathrm{and}\:\mathrm{a},\mathrm{b},\mathrm{c},\mathrm{d}\:\mathrm{are}\:\mathrm{positive} \\ $$$$\mathrm{integers}. \\ $$ Commented by udaythool…
Question Number 47807 by gunawan last updated on 15/Nov/18 $$\mathrm{sin}\:{xy}^{\mathrm{2}} ={y}^{\mathrm{2}} +\mathrm{2}{x} \\ $$$$ \\ $$$$\mathrm{diferential}\:{express}\:\mathrm{is} \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 15/Nov/18…
Question Number 178867 by Spillover last updated on 22/Oct/22 Answered by Spillover last updated on 15/Jan/23 $${f}\left({x}\right)={x}^{\mathrm{4}} −\mathrm{7}{x}^{\mathrm{3}} +\mathrm{1} \\ $$$${requare}\:{to}\:{show} \\ $$$${f}\left({x}_{{o}} \right)×{f}\left({x}_{\mathrm{1}} \right)<\mathrm{0}…
Question Number 47778 by gunawan last updated on 14/Nov/18 $${f}\left({x}\right)=\mathrm{2}{x}^{\mathrm{3}} +{x}^{\mathrm{2}} −\mathrm{2}{x}−\mathrm{1} \\ $$$${f}^{−\mathrm{1}} \left({x}\right)=… \\ $$ Answered by MJS last updated on 15/Nov/18 $$\mathrm{2}{y}^{\mathrm{3}}…
Question Number 178818 by Shrinava last updated on 21/Oct/22 $$\mathrm{If}\:\:\:\mathrm{a},\mathrm{b},\mathrm{c},\mathrm{d}\in\left[\mathrm{1},\mathrm{2}\right]\:\:\:\mathrm{then}\:\mathrm{prove}\:\mathrm{that}: \\ $$$$\left(\mathrm{a}\:+\:\mathrm{b}\:+\:\mathrm{c}\:+\:\mathrm{d}\:+\:\mathrm{e}\right)\left(\frac{\mathrm{1}}{\mathrm{a}}\:+\:\frac{\mathrm{1}}{\mathrm{b}}\:+\:\frac{\mathrm{1}}{\mathrm{c}}\:+\:\frac{\mathrm{1}}{\mathrm{d}}\:+\:\frac{\mathrm{1}}{\mathrm{e}}\right)\:\leqslant\:\mathrm{28} \\ $$$$\mathrm{When}\:\mathrm{equality}\:\mathrm{holds}? \\ $$ Answered by mr W last updated on 22/Oct/22 $${A}={a}+{b}+{c}+{d}+{e}…
Question Number 113272 by 1549442205PVT last updated on 12/Sep/20 $$\mathrm{Solve}\:\mathrm{the}\:\mathrm{following}\:\mathrm{equations}: \\ $$$$\left.\mathrm{a}\right)\left(\mathrm{x}^{\mathrm{2}} −\mathrm{a}\right)^{\mathrm{2}} −\mathrm{6x}^{\mathrm{2}} +\mathrm{4x}+\mathrm{2a}=\mathrm{0} \\ $$$$\left.\mathrm{b}\right)\mathrm{x}^{\mathrm{4}} −\mathrm{4x}^{\mathrm{3}} −\mathrm{10x}^{\mathrm{3}} +\mathrm{37x}−\mathrm{14}=\mathrm{0},\mathrm{if}\:\mathrm{it} \\ $$$$\mathrm{known}\:\mathrm{that}\:\mathrm{the}\:\mathrm{left}−\mathrm{hand}\:\mathrm{side}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{equation}\:\mathrm{can}\:\mathrm{be}\:\mathrm{decomposed}\:\mathrm{into} \\…