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Category: Algebra

If-x-cy-bz-y-az-cx-amp-z-bx-ay-prove-that-x-2-1-a-2-y-2-1-b-2-z-2-1-c-2-

Question Number 27503 by Rasheed.Sindhi last updated on 07/Jan/18 $$\mathrm{If}\:\mathrm{x}=\mathrm{cy}+\mathrm{bz}\:,\mathrm{y}=\mathrm{az}+\mathrm{cx}\:\&\:\mathrm{z}=\mathrm{bx}+\mathrm{ay} \\ $$$$\mathrm{prove}\:\mathrm{that}\frac{\mathrm{x}^{\mathrm{2}} }{\mathrm{1}−\mathrm{a}^{\mathrm{2}} }=\frac{\mathrm{y}^{\mathrm{2}} }{\mathrm{1}−\mathrm{b}^{\mathrm{2}} }=\frac{\mathrm{z}^{\mathrm{2}} }{\mathrm{1}−\mathrm{c}^{\mathrm{2}} }\:. \\ $$ Answered by mrW1 last updated…

xy-yz-8-yz-xz-9-zx-xy-5-

Question Number 93039 by i jagooll last updated on 10/May/20 $$\begin{cases}{{xy}+{yz}\:=\:\mathrm{8}}\\{{yz}+{xz}\:=\:\mathrm{9}}\\{{zx}+{xy}\:=\:\mathrm{5}}\end{cases} \\ $$ Commented by i jagooll last updated on 10/May/20 $$\mathrm{2xy}+\mathrm{2xz}+\mathrm{2yz}\:=\:\mathrm{22} \\ $$$$\mathrm{xy}+\mathrm{xz}+\mathrm{yz}\:=\:\mathrm{11} \\…

find-all-subgroup-of-Z-7-

Question Number 158537 by apriadodir last updated on 05/Nov/21 $$\mathrm{find}\:\mathrm{all}\:\mathrm{subgroup}\:\mathrm{of}\:\left(\mathrm{Z}_{\mathrm{7}} ,+\right)\: \\ $$ Commented by mkam last updated on 06/Nov/21 $${since}\:{Z}_{\mathrm{7}} \:{is}\:{a}\:{prime}\:{group}\:{then}\:{the}\:{sup}\:{group} \\ $$$${is}\:{a}\:{non}\:{trivial}\:{group}\:{z}_{\mathrm{7}} \:{and}\:\left\{\mathrm{0}\right\}…

Prove-that-a-2-tan-k-x-b-2-sin-k-x-gt-2abx-k-for-all-x-0-pi-2-and-positive-integer-k-

Question Number 158534 by HongKing last updated on 05/Nov/21 $$\mathrm{Prove}\:\mathrm{that}\:\:\:\mathrm{a}^{\mathrm{2}} \mathrm{tan}^{\boldsymbol{\mathrm{k}}} \mathrm{x}+\mathrm{b}^{\mathrm{2}} \mathrm{sin}^{\boldsymbol{\mathrm{k}}} \mathrm{x}\:>\:\mathrm{2abx}^{\boldsymbol{\mathrm{k}}} \\ $$$$\mathrm{for}\:\mathrm{all}\:\:\mathrm{x}\in\left(\mathrm{0}\:;\:\frac{\pi}{\mathrm{2}}\right)\:\mathrm{and}\:\mathrm{positive}\:\mathrm{integer}\:\boldsymbol{\mathrm{k}} \\ $$$$ \\ $$ Terms of Service Privacy Policy…

n-1-n-1-3-1-n-1-3-1-

Question Number 158528 by amin96 last updated on 05/Nov/21 $$\underset{\boldsymbol{\mathrm{n}}=\mathrm{1}} {\overset{\infty} {\prod}}\left(\frac{\left(\boldsymbol{\mathrm{n}}+\mathrm{1}\right)^{\mathrm{3}} −\mathrm{1}}{\left(\boldsymbol{\mathrm{n}}+\mathrm{1}\right)^{\mathrm{3}} +\mathrm{1}}\right)=? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com