Question Number 22470 by paddu1234 last updated on 18/Oct/17 $$\mathrm{If}\:{f}\left({x}\right)= \\ $$$$\begin{vmatrix}{\mathrm{1}}&{{x}}&{{x}+\mathrm{1}}\\{\mathrm{2}{x}}&{{x}\left({x}−\mathrm{1}\right)}&{\left({x}+\mathrm{1}\right){x}}\\{\mathrm{3}{x}\left({x}−\mathrm{1}\right)}&{\mathrm{2}\left({x}−\mathrm{1}\right)\left({x}−\mathrm{2}\right)}&{\left({x}+\mathrm{1}\right)\:{x}\left({x}−\mathrm{1}\right)}\end{vmatrix}, \\ $$$$\mathrm{then}\:{f}\left(\mathrm{100}\right)\:\mathrm{is}\:\mathrm{equal}\:\mathrm{to} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 87274 by unknown last updated on 03/Apr/20 $$\mathrm{If}\:\:\mathrm{the}\:\mathrm{equations}\:{x}^{\mathrm{2}} +{ax}+{b}=\mathrm{0}\:\mathrm{and}\: \\ $$$${x}^{\mathrm{2}} +{bx}+{a}=\mathrm{0}\:\mathrm{have}\:\mathrm{a}\:\mathrm{common}\:\mathrm{root}, \\ $$$$\mathrm{then}\:\mathrm{the}\:\mathrm{numerical}\:\mathrm{value}\:\mathrm{of}\:{a}+{b}\:\mathrm{is} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 87275 by unknown last updated on 03/Apr/20 $$\mathrm{If}\:\:\mathrm{the}\:\mathrm{equations}\:{x}^{\mathrm{2}} +{ax}+{b}=\mathrm{0}\:\mathrm{and}\: \\ $$$${x}^{\mathrm{2}} +{bx}+{a}=\mathrm{0}\:\mathrm{have}\:\mathrm{a}\:\mathrm{common}\:\mathrm{root}, \\ $$$$\mathrm{then}\:\mathrm{the}\:\mathrm{numerical}\:\mathrm{value}\:\mathrm{of}\:{a}+{b}\:\mathrm{is} \\ $$ Answered by Rio Michael last updated on…
Question Number 87272 by unknown last updated on 03/Apr/20 $$\mathrm{If}\:\:\mathrm{the}\:\mathrm{equations}\:{x}^{\mathrm{2}} +{ax}+{b}=\mathrm{0}\:\mathrm{and}\: \\ $$$${x}^{\mathrm{2}} +{bx}+{a}=\mathrm{0}\:\mathrm{have}\:\mathrm{a}\:\mathrm{common}\:\mathrm{root}, \\ $$$$\mathrm{then}\:\mathrm{the}\:\mathrm{numerical}\:\mathrm{value}\:\mathrm{of}\:{a}+{b}\:\mathrm{is} \\ $$ Answered by $@ty@m123 last updated on 03/Apr/20…
Question Number 87273 by unknown last updated on 03/Apr/20 $$\mathrm{If}\:\:\mathrm{the}\:\mathrm{equations}\:{x}^{\mathrm{2}} +{ax}+{b}=\mathrm{0}\:\mathrm{and}\: \\ $$$${x}^{\mathrm{2}} +{bx}+{a}=\mathrm{0}\:\mathrm{have}\:\mathrm{a}\:\mathrm{common}\:\mathrm{root}, \\ $$$$\mathrm{then}\:\mathrm{the}\:\mathrm{numerical}\:\mathrm{value}\:\mathrm{of}\:{a}+{b}\:\mathrm{is} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 21549 by x² – y²@gmail.com last updated on 27/Sep/17 $$\mathrm{The}\:\mathrm{value}\:\mathrm{of}\:\mathrm{the}\:\mathrm{expression}\: \\ $$$$\mathrm{3}\left(\mathrm{sin}\:\theta−\mathrm{cos}\:\theta\right)^{\mathrm{4}} +\mathrm{6}\left(\mathrm{sin}\:\theta+\mathrm{cos}\:\theta\right)^{\mathrm{2}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:+\mathrm{4}\left(\mathrm{sin}^{\mathrm{6}} \theta+\mathrm{cos}^{\mathrm{6}} \theta\right)\:\:\mathrm{is} \\ $$ Answered by Tikufly last…
Question Number 21519 by ram1234 last updated on 26/Sep/17 $$\mathrm{If}\:\mathrm{th}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equation}\:{x}^{\mathrm{2}} +\mathrm{2}{ax}+{b}=\mathrm{0} \\ $$$$\mathrm{are}\:\mathrm{real}\:\mathrm{and}\:\mathrm{disinct}\:\mathrm{and}\:\mathrm{they}\:\mathrm{differ}\:\mathrm{by} \\ $$$$\mathrm{at}\:\mathrm{most}\:\mathrm{2}{m},\:\mathrm{then}\:\:{b}\:\mathrm{lies}\:\mathrm{in}\:\mathrm{the}\:\mathrm{interval} \\ $$ Answered by mrW1 last updated on 26/Sep/17 $$\mathrm{x}^{\mathrm{2}}…
Question Number 87034 by Zainal Arifin last updated on 02/Apr/20 $$\mathrm{A}\:\mathrm{and}\:\mathrm{B}\:\mathrm{are}\:\mathrm{running}\:\mathrm{along}\:\mathrm{the}\:\mathrm{wall}\:\mathrm{of} \\ $$$$\mathrm{a}\:\mathrm{square}\:\mathrm{park}.\:\mathrm{The}\:\mathrm{corners}\:\mathrm{of}\:\mathrm{the}\:\mathrm{park} \\ $$$$\mathrm{are}\:\mathrm{facing}\:\mathrm{north},\:\mathrm{south},\:\mathrm{east}\:\mathrm{and}\:\mathrm{west} \\ $$$$\mathrm{and}\:\mathrm{are}\:\mathrm{named}\:\mathrm{N},\:\mathrm{S},\:\mathrm{E},\:\mathrm{W}\:\:\mathrm{respectively}. \\ $$$$\mathrm{They}\:\mathrm{start}\:\mathrm{at}\:\mathrm{E}\:\mathrm{and}\:\mathrm{run}\:\mathrm{towards}\:\mathrm{S}.\:\mathrm{If} \\ $$$$\mathrm{the}\:\mathrm{speed}\:\mathrm{of}\:\mathrm{A}\:\mathrm{is}\:\mathrm{6}\:\mathrm{tines}\:\mathrm{that}\:\mathrm{of}\:\mathrm{B},\:\mathrm{where} \\ $$$$\mathrm{do}\:\mathrm{they}\:\mathrm{meet}\:\mathrm{for}\:\mathrm{the}\:\mathrm{27}^{\mathrm{th}} \:\mathrm{time}? \\…
Question Number 87033 by Zainal Arifin last updated on 02/Apr/20 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{x}^{\mathrm{3}} +\:\frac{\mathrm{1}}{{x}^{\mathrm{3}} }\:\:\:,\:\:\:\mathrm{when} \\ $$$$\:\:\:{x}\:+\:\frac{\mathrm{1}}{{x}}\:=\:\mathrm{5} \\ $$ Answered by redmiiuser last updated on 02/Apr/20 $$\left({x}+\frac{\mathrm{1}}{{x}}\right)^{\mathrm{3}}…
Question Number 21467 by nawroozdawry last updated on 24/Sep/17 $$\underset{\:\mathrm{1}} {\overset{{e}} {\int}}\:\:\mathrm{log}\:{x}\:{dx}\:= \\ $$ Answered by $@ty@m last updated on 24/Sep/17 $${I}=\int\mathrm{log}{x}.\mathrm{1}{dx}\: \\ $$$$=\mathrm{log}{x}\int\mathrm{1}{dx}−\int\frac{\mathrm{1}}{{x}}.{xdx} \\…