Question Number 35534 by jonesme last updated on 20/May/18 $$\mathrm{If}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{9}{x}^{\mathrm{2}} −\mathrm{2}{x}+\mathrm{7}=\mathrm{0}\:\mathrm{are}\:\mathrm{2}\:\mathrm{more} \\ $$$$\mathrm{than}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{of}\:{ax}^{\mathrm{2}} +{bx}+{c}=\mathrm{0},\:\mathrm{then} \\ $$$$\mathrm{4}{a}−\mathrm{2}{b}+{c}\:\:\:\mathrm{can}\:\mathrm{be} \\ $$ Answered by ajfour last updated on 20/May/18…
Question Number 35533 by jonesme last updated on 20/May/18 $$\mathrm{If}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equation}\:{x}^{\mathrm{2}} −{px}+{q}=\mathrm{0} \\ $$$$\mathrm{differ}\:\mathrm{by}\:\mathrm{unity},\:\mathrm{then} \\ $$ Answered by ajfour last updated on 20/May/18 $$\left(\alpha−\beta\right)^{\mathrm{2}} ={p}^{\mathrm{2}} −\mathrm{4}{q}=\mathrm{1}…
Question Number 35467 by Issifu1 last updated on 19/May/18 $$\mathrm{If}\:\:{x}\:=\:\mathrm{32}\:−\:\mathrm{16}\:\boldsymbol{\div}\:\mathrm{2}\:×\:\mathrm{4},\:\mathrm{then}\:{x}= \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on 19/May/18 $${x}=\mathrm{0} \\ $$ Terms of Service…
Question Number 34446 by dilanho last updated on 06/May/18 $$\:\underset{−\pi/\mathrm{2}} {\overset{\pi/\mathrm{2}} {\int}}\:\mathrm{sin}\:\left\{\mathrm{log}\:\left({x}+\sqrt{{x}^{\mathrm{2}} +\mathrm{1}}\:\right)\right\}\:{dx}\:= \\ $$ Commented by math khazana by abdo last updated on 06/May/18…
Question Number 34425 by Vijay kumar prasad last updated on 06/May/18 $${a},\:{b},\:{c}\:\in\:{R},\:{a}\neq\mathrm{0}\:\mathrm{and}\:\mathrm{the}\:\mathrm{quadratic} \\ $$$$\mathrm{equation}\:{ax}^{\mathrm{2}} +{bx}+{c}=\mathrm{0}\:\mathrm{has}\:\mathrm{no}\:\mathrm{real} \\ $$$$\mathrm{roots},\:\mathrm{then} \\ $$ Answered by MJS last updated on…
Question Number 99625 by Kalam last updated on 22/Jun/20 $$\mathrm{If}\:\:{f}\left({x}\right)=\mathrm{cos}^{\mathrm{2}} {x}\:+\:\mathrm{sec}^{\mathrm{2}} {x},\:\mathrm{its}\:\mathrm{value} \\ $$$$\mathrm{always}\:\mathrm{is} \\ $$ Answered by maths mind last updated on 22/Jun/20 $${cos}^{\mathrm{2}}…
Question Number 99366 by PengagumRahasiamu last updated on 20/Jun/20 $$\mathrm{Two}\:\mathrm{buses}\:\mathrm{start}\:\mathrm{from}\:\mathrm{a}\:\mathrm{point}\:\mathrm{such}\:\mathrm{that} \\ $$$$\mathrm{one}\:\mathrm{bus}\:\mathrm{travelling}\:\mathrm{at}\:\mathrm{80}\:\mathrm{km}/\mathrm{h}\:\mathrm{reaches} \\ $$$$\mathrm{its}\:\mathrm{destination}\:\mathrm{2}\:\mathrm{hours}\:\mathrm{before}\:\mathrm{the}\:\mathrm{other} \\ $$$$\mathrm{bus}\:\mathrm{which}\:\mathrm{travels}\:\mathrm{at}\:\mathrm{60}\:\mathrm{km}/\mathrm{h}.\:\mathrm{However} \\ $$$$\mathrm{the}\:\mathrm{distance}\:\mathrm{travelled}\:\mathrm{by}\:\mathrm{the}\:\mathrm{bus} \\ $$$$\mathrm{travelling}\:\mathrm{at}\:\mathrm{60}\:\mathrm{km}/\mathrm{h}\:\mathrm{is}\:\mathrm{40}\:\mathrm{km}\:\mathrm{more}\:\mathrm{than} \\ $$$$\mathrm{that}\:\mathrm{of}\:\mathrm{the}\:\mathrm{other}\:\mathrm{bus}.\:\mathrm{Find}\:\mathrm{the}\:\mathrm{distance} \\ $$$$\mathrm{travelled}\:\mathrm{by}\:\mathrm{the}\:\mathrm{bus}\:\mathrm{which}\:\mathrm{is}\:\mathrm{travelling} \\…
Question Number 99358 by PengagumRahasiamu last updated on 20/Jun/20 $$\mathrm{15}\:\mathrm{men}\:\mathrm{can}\:\mathrm{complete}\:\mathrm{a}\:\mathrm{work}\:\mathrm{in}\:\mathrm{10}\:\mathrm{days}, \\ $$$$\mathrm{working}\:\mathrm{8}\:\mathrm{hrs}.\:\mathrm{per}\:\mathrm{day}.\:\mathrm{How}\:\mathrm{many} \\ $$$$\mathrm{persons}\:\mathrm{are}\:\mathrm{required}\:\mathrm{to}\:\mathrm{complete} \\ $$$$\mathrm{double}\:\mathrm{the}\:\mathrm{work}\:\mathrm{in}\:\mathrm{25}\:\mathrm{days},\:\mathrm{working} \\ $$$$\mathrm{6}\:\mathrm{hrs}.\:\mathrm{per}\:\mathrm{day}? \\ $$ Commented by john santu last…
Question Number 99352 by 659083337 last updated on 20/Jun/20 $$\mathrm{log}_{\mathrm{3}} \mathrm{2},\:\:\mathrm{log}_{\mathrm{6}} \mathrm{2},\:\:\mathrm{log}_{\mathrm{12}} \mathrm{2}\:\:\:\mathrm{are}\:\mathrm{in} \\ $$ Answered by 4635 last updated on 20/Jun/20 $$.\mathrm{log}\:_{\mathrm{3}} \mathrm{2}=\frac{\mathrm{ln}\:\mathrm{2}}{\mathrm{ln}\:\mathrm{3}}\:,.\mathrm{log}\:_{\mathrm{6}} \mathrm{2}=\frac{\mathrm{ln}\:\mathrm{2}}{\mathrm{ln}\:\mathrm{2}+\mathrm{ln}\:\mathrm{3}}…
Question Number 99351 by 659083337 last updated on 20/Jun/20 $$\mathrm{The}\:\mathrm{sum}\:\mathrm{of}\:{n}\:\mathrm{terms}\:\mathrm{of}\:\mathrm{the}\:\mathrm{series}\: \\ $$$$\mathrm{1}^{\mathrm{2}} \:−\:\mathrm{2}^{\mathrm{2}} \:+\:\mathrm{3}^{\mathrm{2}} \:−\:\mathrm{4}^{\mathrm{2}} \:+\:\mathrm{5}^{\mathrm{2}} \:−\:\mathrm{6}^{\mathrm{2}} \:+….\:\mathrm{is} \\ $$ Commented by I want to…