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Category: Algebra

If-the-roots-of-quadratic-equation-ax-2-bx-c-0-were-within-the-interval-0-1-the-maximum-value-from-2a-b-a-b-a-a-b-c-is-

Question Number 10168 by Joel575 last updated on 28/Jan/17 $$\mathrm{If}\:\mathrm{the}\:\mathrm{roots}\:\mathrm{of}\:\mathrm{quadratic}\:\mathrm{equation} \\ $$$${ax}^{\mathrm{2}} \:+\:{bx}\:+\:{c}\:=\:\mathrm{0} \\ $$$$\mathrm{were}\:\mathrm{within}\:\mathrm{the}\:\mathrm{interval}\:\left[\mathrm{0},\mathrm{1}\right], \\ $$$$\mathrm{the}\:\mathrm{maximum}\:\mathrm{value}\:\mathrm{from} \\ $$$$\frac{\left(\mathrm{2}{a}−{b}\right)\left({a}−{b}\right)}{{a}\left({a}−{b}+{c}\right)}\:\:\:\:\mathrm{is}\:… \\ $$ Terms of Service Privacy…

Question-141227

Question Number 141227 by ajfour last updated on 16/May/21 Commented by ajfour last updated on 16/May/21 $${The}\:{cubic}\:{curve}\:{is}\:{y}={x}^{\mathrm{3}} −{x}−{c} \\ $$$${Find}\:{radii}\:{R}\:{and}\:{s}\:{without} \\ $$$${having}\:{to}\:{find}\:\alpha,\:\beta,\:\gamma. \\ $$ Commented…

2-x-y-0-125-0-125-x-y-2-x-y-

Question Number 10138 by konen last updated on 26/Jan/17 $$\mathrm{2}^{\mathrm{x}+\mathrm{y}} =\mathrm{0}.\mathrm{125} \\ $$$$\left(\mathrm{0}.\mathrm{125}\right)^{\mathrm{x}−\mathrm{y}} =\mathrm{2}\:\Rightarrow\:\mathrm{x}×\mathrm{y}=? \\ $$ Answered by sandy_suhendra last updated on 26/Jan/17 $$\mathrm{2}^{\mathrm{x}+\mathrm{y}} =\frac{\mathrm{1}}{\mathrm{8}}…

x-Z-x-4-x-2-16-1-x-

Question Number 10143 by konen last updated on 26/Jan/17 $$\mathrm{x}\in\mathrm{Z} \\ $$$$\left(\mathrm{x}+\mathrm{4}\right)^{\mathrm{x}^{\mathrm{2}} −\mathrm{16}} =\mathrm{1}\:\:\:\Rightarrow\Sigma\mathrm{x}=? \\ $$ Answered by mrW1 last updated on 27/Jan/17 $${x}+\mathrm{4}=\mathrm{1}\:\:\:\:\:\:…\left({i}\right) \\…