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Category: Algebra

Suggest-minimum-number-of-weights-by-which-we-can-weigh-upto-40-kgs-in-whole-numbers-in-a-traditional-balance-If-possible-mention-the-process-also-

Question Number 3143 by Rasheed Soomro last updated on 06/Dec/15 $$\mathcal{S}{uggest}\:{minimum}\:{number}\:{of}\:{weights}\:{by}\:{which}\:{we}\:\:{can}\: \\ $$$${weigh}\:\:{upto}\:\mathrm{40}\:{kgs}\left({in}\:{whole}\:{numbers}\right)\:{in}\:{a}\:{traditional}\:{balance}. \\ $$$${If}\:{possible}\:{mention}\:{the}\:{process}\:{also}. \\ $$ Commented by Rasheed Soomro last updated on 06/Dec/15…

Define-for-sets-A-and-B-A-B-A-B-B-A-Show-that-A-B-A-B-A-B-Prove-that-A-B-C-A-B-C-

Question Number 3113 by Yozzi last updated on 05/Dec/15 $${Define},\:{for}\:{sets}\:{A}\:{and}\:{B}, \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{A}\ast{B}=\left({A}−{B}\right)\cup\left({B}−{A}\right). \\ $$$${Show}\:{that}\:{A}\ast{B}=\left({A}\cup{B}\right)−\left({A}\cap{B}\right). \\ $$$${Prove}\:{that}\:{A}\ast\left({B}\ast{C}\right)=\left({A}\ast{B}\right)\ast{C}.\: \\ $$ Commented by Yozzi last updated on 06/Dec/15…

a-2-a-1-a-2-a-1-b-2-b-1-b-2-b-1-2a-2-2ab-b-a-2a-2-2ab-b-a-2ab-a-b-2-2ab-a-b-2-Solve-for-a-

Question Number 68636 by ajfour last updated on 14/Sep/19 $$\frac{−{a}^{\mathrm{2}} +{a}+\mathrm{1}}{\:\:\:\:{a}^{\mathrm{2}} +{a}+\mathrm{1}}=\frac{−{b}^{\mathrm{2}} +{b}+\mathrm{1}}{\:\:\:\:{b}^{\mathrm{2}} +{b}+\mathrm{1}} \\ $$$$\:\:=\:\frac{\:\:\:\:\mathrm{2}{a}^{\mathrm{2}} −\mathrm{2}{ab}+\left({b}−{a}\right)}{−\mathrm{2}{a}^{\mathrm{2}} +\mathrm{2}{ab}+\left({b}−{a}\right)} \\ $$$$\:\:=\frac{−\mathrm{2}{ab}+\left({a}+{b}\right)+\mathrm{2}}{\:\:\:\:\mathrm{2}{ab}+\left({a}+{b}\right)+\mathrm{2}} \\ $$$${Solve}\:{for}\:\boldsymbol{{a}}. \\ $$$$ \\…

Question-68624

Question Number 68624 by TawaTawa last updated on 14/Sep/19 Answered by Rasheed.Sindhi last updated on 14/Sep/19 $$\mathbb{A}\:\mathbb{T}\boldsymbol{\mathrm{ricky}}\:\mathbb{A}\boldsymbol{\mathrm{pproach}} \\ $$$$\mathrm{k}=−\mathrm{3}\left(\frac{\mathrm{1}}{\mathrm{a}^{\mathrm{2}} −\mathrm{a}+\mathrm{1}}+\frac{\mathrm{1}}{\mathrm{b}^{\mathrm{2}} −\mathrm{b}+\mathrm{1}}\right)+\mathrm{c} \\ $$$$\:\:=−\mathrm{3}\left(\frac{\mathrm{a}+\mathrm{1}}{\left(\mathrm{a}+\mathrm{1}\right)\left(\mathrm{a}^{\mathrm{2}} −\mathrm{a}+\mathrm{1}\right)}+\frac{\mathrm{b}+\mathrm{1}}{\left(\mathrm{b}+\mathrm{1}\right)\left(\mathrm{b}^{\mathrm{2}} −\mathrm{b}+\mathrm{1}\right)}\right)+\mathrm{c}…

Determine-nth-term-of-the-following-sequence-1-0-1-0-7-28-79-

Question Number 3061 by Rasheed Soomro last updated on 04/Dec/15 $$\mathrm{Determine}\:\:\mathrm{nth}\:\:\mathrm{term}\:\mathrm{of}\:\mathrm{the}\:\mathrm{following}\:\mathrm{sequence} \\ $$$$\mathrm{1},\mathrm{0},−\mathrm{1},\mathrm{0},\mathrm{7},\mathrm{28},\mathrm{79},… \\ $$ Commented by prakash jain last updated on 04/Dec/15 $${one}\:{techinque}\:{is}\:{to}\:{define} \\…