Question Number 140974 by EnterUsername last updated on 14/May/21 $$\mathrm{If}\:\mathrm{the}\:\mathrm{equations}\:\mathrm{x}^{\mathrm{2}} −\mathrm{3x}+{a}=\mathrm{0}\:\mathrm{and}\:\mathrm{x}^{\mathrm{2}} +{a}\mathrm{x}−\mathrm{3}=\mathrm{0} \\ $$$$\mathrm{have}\:\mathrm{a}\:\mathrm{common}\:\mathrm{root},\:\mathrm{then}\:\mathrm{a}\:\mathrm{possible}\:\mathrm{value}\:\mathrm{of}\:{a}\:\mathrm{is} \\ $$$$\left(\mathrm{A}\right)\:\mathrm{3}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{B}\right)\:\mathrm{1}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{C}\right)\:−\mathrm{2}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{D}\right)\:\mathrm{2} \\ $$ Commented by mohammad17 last updated on 14/May/21…
Question Number 140969 by EnterUsername last updated on 14/May/21 $$\mathrm{The}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{the}\:\mathrm{equation}\:\mathrm{x}^{\mathrm{2}} −\left({m}−\mathrm{3}\right)\mathrm{x}+{m}=\mathrm{0}\:\mathrm{are} \\ $$$$\mathrm{such}\:\mathrm{that}\:\mathrm{exactly}\:\mathrm{one}\:\mathrm{of}\:\mathrm{them}\:\mathrm{lies}\:\mathrm{in}\:\mathrm{the}\:\mathrm{interval} \\ $$$$\left(\mathrm{1},\:\mathrm{2}\right).\:\mathrm{Then} \\ $$$$\left(\mathrm{A}\right)\:\mathrm{5}<{m}<\mathrm{7}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{B}\right)\:{m}<\mathrm{10} \\ $$$$\left(\mathrm{C}\right)\:\mathrm{2}<{m}<\mathrm{5}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{D}\right)\:{m}>\mathrm{10} \\ $$ Terms of Service Privacy…
Question Number 75437 by Master last updated on 11/Dec/19 Commented by Master last updated on 11/Dec/19 $$\mathrm{sir}\:\boldsymbol{\mathrm{mind}}\:\boldsymbol{\mathrm{is}}\:\boldsymbol{\mathrm{power}}\:\:\mathrm{please}\: \\ $$ Commented by Master last updated on…
Question Number 140965 by EnterUsername last updated on 14/May/21 $$\mathrm{If}\:{a}\neq\mathrm{0}\:\mathrm{and}\:{a}\left({l}+{m}\right)^{\mathrm{2}} +\mathrm{2}{blm}+{c}=\mathrm{0}\:\mathrm{and}\:{a}\left({l}+{n}\right)^{\mathrm{2}} + \\ $$$$\mathrm{2}{bln}+{c}=\mathrm{0},\:\mathrm{then} \\ $$$$\left(\mathrm{A}\right)\:{mn}={l}^{\mathrm{2}} +{c}/{a}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{B}\right)\:{lm}={n}^{\mathrm{2}} +{c}/{a} \\ $$$$\left(\mathrm{C}\right)\:{ln}={m}^{\mathrm{2}} +{c}/{a}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{D}\right)\:{mn}={l}^{\mathrm{2}} +{bc}/{a} \\ $$ Terms…
Question Number 9890 by konen last updated on 12/Jan/17 $$\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{16}}\right)\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{25}}\right)\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{36}}\right)…\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{3600}}\right)=? \\ $$ Answered by nume1114 last updated on 12/Jan/17 $$\:\:\:\:\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{16}}\right)\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{25}}\right)\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{36}}\right)…\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{3600}}\right) \\ $$$$=\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{4}^{\mathrm{2}} }\right)\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{5}^{\mathrm{2}} }\right)\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{6}^{\mathrm{2}} }\right)…\left(\mathrm{1}−\frac{\mathrm{1}}{\mathrm{60}^{\mathrm{2}}…
Question Number 140959 by loveineq last updated on 14/May/21 $$\mathrm{Let}\:{a},{b}\:\geqslant\:\mathrm{0}.\:\mathrm{Prove}\:\mathrm{that} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\frac{\mathrm{1}}{\mathrm{4}}\centerdot\frac{\left(\mathrm{2}+{a}\right)\left(\mathrm{2}+{b}\right)}{\left(\mathrm{1}+{a}\right)\left(\mathrm{1}+{b}\right)}\:\geqslant\:\frac{\mathrm{4}−{a}−{b}}{\mathrm{4}+{a}+{b}}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\: \\ $$$$ \\ $$ Answered by MJS_new last updated on 14/May/21 $$\mathrm{this}\:\mathrm{is}\:\mathrm{easy} \\…
Question Number 9883 by Joel575 last updated on 12/Jan/17 $$\left({x}^{\mathrm{2}} −\mathrm{2}{x}+\mathrm{3}\right)^{\mathrm{2}} \:+\:\mathrm{7}\left({x}^{\mathrm{2}} −\mathrm{6}{x}\right)\:+\:\mathrm{19}\:=\:\mathrm{0} \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{x}\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 9884 by Joel575 last updated on 12/Jan/17 $$\left({x}^{\mathrm{2}} −\mathrm{2}{x}+\mathrm{3}\right)^{\mathrm{2}} \:+\:\left(\mathrm{3}{x}^{\mathrm{2}} −\mathrm{6}{x}−\mathrm{9}\right)\:=\:\mathrm{0} \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:{x}\:? \\ $$ Answered by sandy_suhendra last updated on 12/Jan/17 $$\left(\mathrm{x}^{\mathrm{2}}…
Question Number 9875 by j.masanja06@gmail.com last updated on 11/Jan/17 $$\mathrm{solve}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{x}. \\ $$$$\mathrm{5logx}=\frac{\mathrm{x}}{\mathrm{4}} \\ $$ Answered by mrW1 last updated on 12/Jan/17 $$\mathrm{5log}\:{x}=\frac{{x}}{\mathrm{4}} \\ $$$$\mathrm{log}\:{x}=\frac{{x}}{\mathrm{20}} \\…
Question Number 9873 by j.masanja06@gmail.com last updated on 11/Jan/17 $$\mathrm{find}\:\mathrm{the}\:\mathrm{relation}\:\mathrm{between}\:\mathrm{a},\mathrm{b},\mathrm{c}\:\mathrm{and}\:\:\mathrm{d} \\ $$$$\mathrm{if}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{the}\:\mathrm{eqution}\: \\ $$$$\mathrm{ax}^{\mathrm{3}} \:+\:\mathrm{bx}^{\mathrm{2}} +\mathrm{cx}+\mathrm{d}=\mathrm{0}\:\:\mathrm{are}\:\mathrm{in}; \\ $$$$\left(\mathrm{i}\right)\mathrm{A}.\mathrm{P} \\ $$$$\left(\mathrm{ii}\right)\mathrm{G}.\mathrm{P} \\ $$ Answered by bansal22luvi@gmail.com…