Category: Algebra

Question Number 85176 by jagoll last updated on 19/Mar/20 $$\mathrm{what}\mathrm{is}\mathrm{range}$$$$\mathrm{function}\mathrm{y}=\sqrt{\mathrm{x}-1}+\sqrt{5-\mathrm{x}}$$ Answered by john santu last updated on 19/Mar/20 $$\mathrm{Domain}:\mathrm{x}⩾1\wedge \mathrm{x}⩽5\Rightarrow 1⩽\mathrm{x}⩽5$$$$\mathrm{Range}\::\:\mathrm{y}\:'\:=\:\frac{\mathrm{1}}{\mathrm{2}\sqrt{\mathrm{x}−\mathrm{1}}}\:−\:\frac{\mathrm{1}}{\mathrm{2}\sqrt{\mathrm{5}−\mathrm{x}}}\:=\:\mathrm{0}…

Question Number 19629 by Tinkutara last updated on 13/Aug/17 $$\mathrm{If}\mid z\mid =2,\mathrm{then}\mathrm{the}\mathrm{points}\mathrm{representing}$$$$\mathrm{the}\mathrm{complex}\mathrm{numbers}-1+5z\mathrm{will}\mathrm{lie}$$$$\mathrm{on}\mathrm{a}$$$$\left(1\right)\mathrm{Circle}$$$$\left(2\right)\mathrm{Straight}\mathrm{line}$$$$\left(3\right)\mathrm{Parabola}$$$$\left(4\right)\mathrm{Ellipse}$$ Answered…

Question Number 150684 by mathdanisur last updated on 14/Aug/21 $$\mathrm{if}\mathrm{a};\mathrm{b};\mathrm{c};\mathrm{d}\in \mathbb{Z}$$$$(\mathrm{b}-\mathrm{a})(\mathrm{c}-\mathrm{a})(\mathrm{d}-\mathrm{a})(\mathrm{c}-\mathrm{b})(\mathrm{d}-\mathrm{b})(\mathrm{d}-\mathrm{c})$$$$\mathrm{prove}\mathrm{that}\mathrm{the}\mathrm{expression}\mathrm{is}\mathrm{divide}$$$$\mathrm{into}12$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 19604 by ajfour last updated on 13/Aug/17 Commented by ajfour last updated on 13/Aug/17 $$\mathrm{solution}\mathrm{to}\mathrm{Q}.19508$$$$\mathrm{To}\:\mathrm{prove}\:\mathrm{p}=\mid\mathrm{z}_{\mathrm{1}} −\mathrm{z}_{\mathrm{0}} \mid=\mid\frac{\bar {\alpha}\mathrm{z}_{\mathrm{1}} +\alpha\bar {\mathrm{z}}_{\mathrm{1}} +\mathrm{2c}}{\mathrm{2}\mid\alpha\mid}\mid…

Question Number 150652 by mathdanisur last updated on 14/Aug/21 $$\mathrm{If}\mathrm{f}(3\mathrm{x}+1)+\mathrm{f}(5\mathrm{x}+1)={\mathrm{x}}^3-2$$$$\mathrm{Find}\mathrm{f}\left(1\right)+\mathrm{f}\left(4\right)+\mathrm{f}\left(16\right)=?$$ Commented by MJS_new last updated on 14/Aug/21 $${f}\left({x}\right)=\frac{\mathrm{1}}{\mathrm{152}}\left({x}^{\mathrm{3}} −\mathrm{3}{x}^{\mathrm{2}} +\mathrm{3}{x}−\mathrm{153}\right)…