Category: Algebra

Question Number 21356 by Tinkutara last updated on 21/Sep/17 $$\mathrm{Solve}:\sqrt[3]{2^{\frac{3x-1}{x-1}}}<8^{\frac{x-3}{3x-7}}$$ Answered by dioph last updated on 21/Sep/17 $$x-1\ne 0\Rightarrow x\ne 1$$$$3x-7\ne 0\Rightarrow x\ne \frac{7}{3}$$$$\mathrm{2}^{\frac{\mathrm{1}}{\mathrm{3}}×\frac{\mathrm{3}{x}−\mathrm{1}}{{x}−\mathrm{1}}}…

Question Number 21354 by Tinkutara last updated on 21/Sep/17 $$\mathrm{Solve}:\sqrt{2x+5}+\sqrt{x-1}>8$$ Commented by Tinkutara last updated on 22/Sep/17 $$Whereismymistake?$$$$\sqrt{2x+5}+\sqrt{x-1}>8$$$$\mathrm{2}{x}+\mathrm{5}+{x}−\mathrm{1}+\mathrm{2}\sqrt{\left(\mathrm{2}{x}+\mathrm{5}\right)\left({x}−\mathrm{1}\right)}>\mathrm{64} \…

Question Number 21321 by Tinkutara last updated on 20/Sep/17 $$\mathrm{The}\mathrm{number}\mathrm{of}\mathrm{real}\mathrm{solutions}\mathrm{of}\mathrm{the}$$$$\mathrm{equation}4x^{99}+5x^{98}+4x^{97}+5x^{96}+$$$$\dots ..+4x+5=0\mathrm{is}$$ Answered by dioph last updated…

Question Number 21316 by Tinkutara last updated on 20/Sep/17 $$\mathrm{Let}p={(x_1-x_2)}^2+{(x_1-x_3)}^2+\dots .+$$$$\left({x}_{\mathrm{1}} \:−\:{x}_{\mathrm{6}} \right)^{\mathrm{2}} \:+\:\left({x}_{\mathrm{2}} \:−\:{x}_{\mathrm{3}} \right)^{\mathrm{2}} \:+\:\left({x}_{\mathrm{2}} \:−\:{x}_{\mathrm{4}}…

Question Number 21315 by Tinkutara last updated on 20/Sep/17 $$\mathrm{The}\mathrm{number}\mathrm{of}\mathrm{real}\mathrm{solutions}\mathrm{of}\mathrm{the}$$$$\mathrm{equation}\sqrt[4]{97-x}+\sqrt[4]{x}=5$$ Terms of Service Privacy Policy Contact: info@tinkutara.com