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Category: Algebra

If-10-6-2-5-3-2-2-a-b-then-a-b-

Question Number 173869 by mnjuly1970 last updated on 20/Jul/22 $$ \\ $$$$\:{If},\:\:\:\left(\:\frac{\sqrt{\mathrm{10}}\:+\sqrt{\mathrm{6}}+\mathrm{2}}{\:\sqrt{\mathrm{5}}\:−\sqrt{\mathrm{3}\:}\:+\:\sqrt{\mathrm{2}}}\:\right)^{\:\mathrm{2}} =\:{a}\:+\:\sqrt{{b}} \\ $$$$\:\:\:\:\:\:\:\:{then}.\:\:\:\:\:\:\:\:{a}\:\:,\:\:\:{b}\:=\:? \\ $$$$\:\:\:\:\:\:\:\:\: \\ $$ Commented by infinityaction last updated on…

BeMath-If-x-4-x-2-11-5-find-the-value-of-x-1-x-1-1-3-x-1-x-1-1-3-

Question Number 108316 by bemath last updated on 16/Aug/20 $$\:\:\:\:\frac{\bigtriangledown\mathcal{B}{e}\mathcal{M}{ath}\bigtriangledown}{\bigtriangleup} \\ $$$${If}\:{x}^{\mathrm{4}} +{x}^{\mathrm{2}} \:=\:\frac{\mathrm{11}}{\mathrm{5}}\:,\:{find}\:{the}\:{value}\:{of} \\ $$$$\Omega\:=\:\sqrt[{\mathrm{3}}]{\frac{{x}+\mathrm{1}}{{x}−\mathrm{1}}}\:+\:\sqrt[{\mathrm{3}}]{\frac{{x}−\mathrm{1}}{{x}+\mathrm{1}}}\: \\ $$ Answered by bobhans last updated on 16/Aug/20…

Solve-q-4-40q-2-q-384-0-

Question Number 42776 by Tawa1 last updated on 02/Sep/18 $$\mathrm{Solve}:\:\:\:\:\:\mathrm{q}^{\mathrm{4}} \:−\:\mathrm{40q}^{\mathrm{2}} \:+\:\mathrm{q}\:+\:\mathrm{384}\:=\:\mathrm{0} \\ $$ Answered by MJS last updated on 02/Sep/18 $$\mathrm{I}\:\mathrm{found}\:\mathrm{no}\:\mathrm{useable}\:\mathrm{exact}\:\mathrm{solution} \\ $$$${q}_{\mathrm{1}} \approx−\mathrm{4}.\mathrm{95762}…

BeMath-Given-5-9-2-15-5-9-2-15-x-find-the-value-of-x-1-x-2-

Question Number 108309 by bemath last updated on 16/Aug/20 $$\:\:\:\:\:\frac{\bigtriangleup\mathcal{B}{e}\mathcal{M}{ath}\bigtriangleup}{\therefore} \\ $$$${Given}\:\sqrt{\mathrm{5}+\sqrt{\mathrm{9}+\mathrm{2}\sqrt{\mathrm{15}}}}\:+\sqrt{\mathrm{5}−\sqrt{\mathrm{9}+\mathrm{2}\sqrt{\mathrm{15}}}}\:=\:{x} \\ $$$${find}\:{the}\:{value}\:{of}\:\left({x}−\frac{\mathrm{1}}{{x}}\right)^{\mathrm{2}} \\ $$ Answered by bobhans last updated on 16/Aug/20 $$\:\:\frac{\in{bobhans}\in}{\Bumpeq} \\…

Question-42765

Question Number 42765 by jbm last updated on 02/Sep/18 Commented by MJS last updated on 02/Sep/18 $$\approx\mathrm{1}.\mathrm{4331274267223}\:\left({n}=\mathrm{10},\:\mathrm{the}\:\mathrm{difference}\:\mathrm{to}\right. \\ $$$$\left.\mathrm{the}\:\mathrm{value}\:\mathrm{with}\:{n}=\mathrm{11}\:\mathrm{is}\:\mathrm{smaller}\:\mathrm{than}\:\mathrm{10}^{−\mathrm{13}} \right) \\ $$$$ \\ $$ Terms…

Question-173834

Question Number 173834 by mnjuly1970 last updated on 19/Jul/22 Commented by infinityaction last updated on 20/Jul/22 $$\boldsymbol{{f}}\left(\boldsymbol{{x}}\right)\boldsymbol{{g}}\left(\boldsymbol{{x}}\right)\boldsymbol{{h}}\left(\boldsymbol{{x}}\right)\:=\:\left(\boldsymbol{\mathrm{tan}}^{\mathrm{7}} \boldsymbol{{x}}+\boldsymbol{\mathrm{cot}}^{\mathrm{7}} \boldsymbol{{x}}\right)\left(\boldsymbol{\mathrm{tan}}^{\mathrm{8}} \boldsymbol{{x}}−\boldsymbol{\mathrm{cot}}^{\mathrm{8}} \boldsymbol{{x}}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:×\:\:\left(\boldsymbol{\mathrm{tan}}^{\mathrm{9}} \boldsymbol{{x}}+\boldsymbol{\mathrm{cot}}^{\mathrm{9}} \boldsymbol{{x}}\right)…