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Category: Algebra

Question-168229

Question Number 168229 by mathlove last updated on 06/Apr/22 Answered by mr W last updated on 06/Apr/22 $${x}=\mathrm{2}: \\ $$$${P}\left(\mathrm{0}\right)−{P}\left(\mathrm{0}\right)=\mathrm{4}{a}−\mathrm{2}{b}+\mathrm{12}=\mathrm{0} \\ $$$$\Rightarrow\mathrm{2}{a}−{b}+\mathrm{6}=\mathrm{0} \\ $$$${x}=\mathrm{4}: \\…

if-are-the-roots-of-the-quadratic-equation-ax-2-bx-c-0-then-find-the-quadratic-equation-whose-roots-are-2-2-

Question Number 37139 by nishant last updated on 09/Jun/18 $${if}\:\alpha\:,\:\beta\:\:{are}\:{the}\:{roots}\:{of}\:{the}\:{quadratic} \\ $$$${equation}\:{ax}^{\mathrm{2}} +{bx}+{c}\:=\mathrm{0}\:{then}\:\:{find} \\ $$$${the}\:{quadratic}\:{equation}\:{whose}\:{roots} \\ $$$${are}\:\:\alpha^{\mathrm{2}\:\:\:} ,\:\beta^{\mathrm{2}} \\ $$$$ \\ $$$$ \\ $$ Answered…

Question-168210

Question Number 168210 by mathlove last updated on 06/Apr/22 Answered by mr W last updated on 06/Apr/22 $${y}={x}^{\mathrm{3}} +{ex} \\ $$$${x}^{\mathrm{3}} +{ex}−{y}=\mathrm{0} \\ $$$${x}=\sqrt[{\mathrm{3}}]{\sqrt{\frac{{e}^{\mathrm{3}} }{\mathrm{27}}+\frac{{y}^{\mathrm{2}}…

Question-168203

Question Number 168203 by Tawa11 last updated on 05/Apr/22 Answered by kapoorshah last updated on 05/Apr/22 $$\left({x}+\mathrm{2}\right)\left({y}+\mathrm{3}\right)=\mathrm{0} \\ $$$$\left({y}+\mathrm{3}\right)\left({z}+\mathrm{1}\right)=\mathrm{0} \\ $$$$\left({z}+\mathrm{1}\right)\left({x}+\mathrm{2}\right)=\mathrm{0} \\ $$$${x}\:=\:−\mathrm{2}\:\:\:{y}\:=\:−\mathrm{3}\:\:\:{z}\:=\:−\mathrm{1} \\ $$$$…

If-f-x-sin-2x-sin-x-cos-x-1-then-R-f-range-

Question Number 168176 by mnjuly1970 last updated on 05/Apr/22 $$ \\ $$$$\:\:\: \\ $$$$\:\:\:\mathrm{I}{f}\:,\:\:{f}\left({x}\right)=\frac{\:\:\mid\:{sin}\left(\mathrm{2}{x}\right)\mid}{\mid{sin}\left({x}\right)\mid+\mid{cos}\left({x}\right)\mid\:+\mathrm{1}} \\ $$$$\: \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:{then}\:\::\:\:\:\:\:\:{R}_{\:{f}} \:=?\:\:\:\:\:\:\:\:\left(\:{range}\:\right)\:\: \\ $$$$\:\:\:\:\:\: \\ $$ Answered by…

The-ratio-of-cars-to-motorcycles-sold-in-a-garage-is-5-7-If-a-dealer-sold-142-more-motorcycles-than-cars-in-a-particular-month-find-the-number-of-each-type-of-vehicle-sold-

Question Number 168072 by pete last updated on 02/Apr/22 $$\mathrm{The}\:\mathrm{ratio}\:\mathrm{of}\:\mathrm{cars}\:\mathrm{to}\:\mathrm{motorcycles}\:\mathrm{sold}\:\mathrm{in}\:\mathrm{a} \\ $$$$\mathrm{garage}\:\mathrm{is}\:\mathrm{5}:\mathrm{7}.\:\mathrm{If}\:\mathrm{a}\:\mathrm{dealer}\:\mathrm{sold}\:\mathrm{142}\:\mathrm{more}\: \\ $$$$\mathrm{motorcycles}\:\mathrm{than}\:\mathrm{cars}\:\mathrm{in}\:\mathrm{a}\:\mathrm{particular}\:\mathrm{month}, \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{each}\:\mathrm{type}\:\mathrm{of}\:\mathrm{vehicle} \\ $$$$\mathrm{sold}. \\ $$ Answered by antrose last updated…