Question Number 78037 by Pratah last updated on 13/Jan/20 Commented by MJS last updated on 13/Jan/20 $$\mathrm{see}\:\mathrm{question}\:\mathrm{77009} \\ $$ Commented by Pratah last updated on…
Question Number 77990 by peter frank last updated on 12/Jan/20 $${Find}\:{the}\:{equation}\:{to}\:{the} \\ $$$${two}\:{circles}\:{each}\:{of} \\ $$$${which}\:{touch}\:{the}\:{three}\:{circle} \\ $$$${x}^{\mathrm{2}} +{y}^{\mathrm{2}} =\mathrm{4}{a}^{\mathrm{2}} \\ $$$${x}^{\mathrm{2}} +{y}^{\mathrm{2}} +\mathrm{2}{ax}=\mathrm{0} \\ $$$${x}^{\mathrm{2}}…
Question Number 77991 by peter frank last updated on 12/Jan/20 $${If}\:\:{P}_{\mathrm{1}} \:\:{P}_{\mathrm{2}} \:\:{P}_{\mathrm{3}} \:\:{will}\:{be}\:{taken} \\ $$$${as}\:{point}\:{in}\:{an}\:{Argand} \\ $$$${diagram}\:{representing} \\ $$$${complex}\:{number} \\ $$$${Z}_{\mathrm{1}} ,{Z}_{\mathrm{2}} ,{Z}_{\mathrm{3}} \:\:{and}\:{point}…
Question Number 12446 by tawa last updated on 22/Apr/17 $$\mathrm{find}\:\mathrm{x} \\ $$$$\sqrt{\mathrm{x}}\:\:=\:\:\mathrm{8}^{\mathrm{x}} \\ $$ Commented by mrW1 last updated on 23/Apr/17 $${For}\:{equation}\:\sqrt{{x}}={a}^{{x}} \:{the}\:{solution}\:{is} \\ $$$${x}=−\frac{{W}\left(−\mathrm{2ln}\:{a}\right)}{\mathrm{2ln}\:{a}}…
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Question Number 143514 by ERA last updated on 15/Jun/21 Commented by Rasheed.Sindhi last updated on 15/Jun/21 $${Do}\:{you}\:{have}\:{booked}\:{space}\:{for}\: \\ $$$${question}\:{in}\:{advance}? \\ $$ Terms of Service Privacy…
Question Number 143507 by Billy last updated on 15/Jun/21 $$\mathrm{10}\sqrt{\mathrm{20}}+\mathrm{13}\sqrt{\mathrm{45}} \\ $$ Answered by qaz last updated on 15/Jun/21 $$\mathrm{10}\sqrt{\mathrm{20}}+\mathrm{13}\sqrt{\mathrm{45}} \\ $$$$=\mathrm{10}×\mathrm{2}\sqrt{\mathrm{5}}+\mathrm{13}×\mathrm{3}\sqrt{\mathrm{5}} \\ $$$$=\left(\mathrm{20}+\mathrm{39}\right)\sqrt{\mathrm{5}} \\…
Question Number 77965 by mr W last updated on 12/Jan/20 $${solve}\:{for}\:{x},{y},{z}\:\in\mathbb{N} \\ $$$$\mathrm{35}{x}+\mathrm{21}{y}+\mathrm{60}{z}=\mathrm{665} \\ $$ Commented by john santu last updated on 12/Jan/20 $${diopthantine}\:{equation}\:{sir}? \\…
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Question Number 12414 by FilupS last updated on 21/Apr/17 $$\mathrm{does}\:\underset{{i}=\mathrm{1}} {\overset{\infty} {\sum}}{p}_{{i}} \:\:\:\mathrm{converge},\:\:\:\:{p}_{{i}} \in\mathbb{P} \\ $$ Answered by prakash jain last updated on 22/Apr/17 $$\mathrm{There}\:\mathrm{are}\:\mathrm{infinitely}\:\mathrm{many}\:\mathrm{primes}.…