Category: Algebra

Question Number 216316 by a.lgnaoui last updated on 03/Feb/25 $$\mathrm{Calculer}$$$${\lim }_{\mathbf{x}\to -2}\frac{{\mathbf{x}}^2+\mathbf{x}-2}{\sqrt{6+\mathbf{x}}-2}$$ Answered by A5T last updated on 03/Feb/25 $$\frac{\mathrm{x}^{\mathrm{2}} +\mathrm{x}−\mathrm{2}}{\:\sqrt{\mathrm{6}+\mathrm{x}}−\mathrm{2}}=\frac{\left(\mathrm{x}+\mathrm{2}\right)\left(\mathrm{x}−\mathrm{1}\right)\left(\sqrt{\mathrm{6}+\mathrm{x}}+\mathrm{2}\right)}{\mathrm{2}+\mathrm{x}}…

Question Number 216270 by MATHEMATICSAM last updated on 02/Feb/25 $$\mathrm{If}(b-c)x+(c-a)y+(a-b)z=0\mathrm{then}$$$$\mathrm{prove}\mathrm{that}\frac{b-c}{y-z}=\frac{c-a}{z-x}=\frac{a-b}{x-y}.$$ Answered by Rasheed.Sindhi last updated on 02/Feb/25 $$\mathrm{If}(b-c)x+(c-a)y+(a-b)z=0\mathrm{then}$$$$\mathrm{prove}\:\mathrm{that}\:\frac{{b}\:−\:{c}}{{y}\:−\:{z}}\:=\:\frac{{c}\:−\:{a}}{{z}\:−\:{x}}\:=\:\frac{{a}\:−\:{b}}{{x}\:−\:{y}}\:. \…

Question Number 216253 by MATHEMATICSAM last updated on 01/Feb/25 $$\mathrm{If}x\mathrm{is}\mathrm{a}\mathrm{positive}\mathrm{acute}\mathrm{angle}\mathrm{and}$$$$\sin x+{\sin }^{2}x+{\sin }^{3}x=1\mathrm{then}\mathrm{find}$$$$\mathrm{minimum}\mathrm{value}\mathrm{of}{\cot }^{2}x.$$ Commented by Frix last updated on…

Question Number 216242 by ajfour last updated on 01/Feb/25 $${(x-a)}^2+{(x^2-a)}^2=a^2$$$$Findx,givena.$$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 216183 by MATHEMATICSAM last updated on 29/Jan/25 Answered by A5T last updated on 29/Jan/25 $$={\mathrm{a}}^3-{\mathrm{a}}^2(\mathrm{b}+\mathrm{c})+{\mathrm{b}}^3+{\mathrm{c}}^3+2\mathrm{abc}-{\mathrm{b}}^2(\mathrm{a}+\mathrm{c})-{\mathrm{c}}^2(\mathrm{a}+\mathrm{b})$$$$=\mathrm{a}^{\mathrm{2}}…