Category: Others

Question Number 33322 by Rio Mike last updated on 15/Apr/18 $$\left.{a}\right)\:{px}^{\mathrm{2}} +\:\mathrm{3}{x}\:+\:{q}=\mathrm{0}\:{has}\:{roots}\: \\ $$$$\:\:\left[\frac{\alpha+\beta}{\alpha\beta}\right]×\:\alpha\beta \\ $$$${find}\:{p}\:{and}\:{q}\:{if}\: \\ $$$$\:\:{x}^{\mathrm{2}} −\:\mathrm{7}{x}\:+\:\mathrm{4}\:=\:\mathrm{0}\:{with}\:{real}\:{and}\: \\ $$$${distinct}\:{roots}\:{has}\:{same}\:{roots}.. \\ $$$$\left.{b}\right){if}\:\alpha\:{and}\:\beta\:{are}\:{roots}\:{of}\: \\ $$$$\:{x}^{\mathrm{2}}…

Question Number 33252 by Rio Mike last updated on 13/Apr/18 $${if}\:\alpha\:{and}\:\beta\:{are}\:{roots}\:{of}\:{the}\:{equation} \\ $$$$\:{x}^{\mathrm{2}} +{px}\:+\:{q}=\mathrm{0} \\ $$$${then}\:{the}\:{value}\:{p}\:{and}\:{q}\:{when}\: \\ $$$$\:\:{x}^{\mathrm{2}} +\:\mathrm{3}{x}\:+\:\mathrm{2}=\mathrm{0}\:{has}\:{same}\:{roots}\:{are}? \\ $$ Commented by Rasheed.Sindhi last…

Question Number 33211 by abdo imad last updated on 12/Apr/18 $${find}\:{lim}_{{x}\rightarrow+\infty} \:\:\:{x}\:{e}^{−{x}^{\mathrm{2}} } \:\:\int_{{x}−\mathrm{1}} ^{{x}} \:{e}^{{t}^{\mathrm{2}} } {dt}\:. \\ $$ Terms of Service Privacy Policy…

Question Number 33185 by Rio Mike last updated on 12/Apr/18 $${find}\:{k}\:{if} \\ $$$$\:\:\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\left(\mathrm{2}{k}\right)\left(\mathrm{2}\right)^{{n}−\mathrm{1}} =\mathrm{64} \\ $$$${hence}\:{find}\:{k}\:{if}\:\:{kx}^{\mathrm{2}} +\mathrm{3}{x}\:+\mathrm{4}=\mathrm{0}\:{has} \\ $$$${real}\:{roots}. \\ $$ Answered by…

Question Number 33158 by Rio Mike last updated on 11/Apr/18 $${the}\:{matrice}\:{which}\:{comes}\:{from} \\ $$$${the}\:{transformation}\:{matrix}\: \\ $$$$\:\begin{pmatrix}{{cos}\theta\:\:\:\:\:\:\:\:\:−{sin}\theta}\\{{sin}\:\theta\:\:\:\:\:\:\:\:\:\:\:\:\:\:{cos}\theta}\end{pmatrix} \\ $$$${at}\:\mathrm{90}°\:{is}? \\ $$ Commented by Joel578 last updated on…