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Category: Algebra

If-sin-2-and-cos-2-are-the-roots-of-quadratic-equation-find-the-equation-

Question Number 117101 by harckinwunmy last updated on 09/Oct/20 $$\mathrm{If}\:\mathrm{sin}^{\mathrm{2}} \theta\:\mathrm{and}\:\mathrm{cos}^{\mathrm{2}} \theta\:\mathrm{are}\:\mathrm{the}\:\mathrm{roots}\: \\ $$$$\mathrm{of}\:\mathrm{quadratic}\:\mathrm{equation},\:\mathrm{find}\:\mathrm{the}\:\mathrm{equation}. \\ $$ Answered by bemath last updated on 09/Oct/20 $$\Rightarrow\left(\mathrm{x}−\mathrm{sin}\:^{\mathrm{2}} \theta\right)\left(\mathrm{x}−\mathrm{cos}\:^{\mathrm{2}}…

Question-117095

Question Number 117095 by bemath last updated on 09/Oct/20 Answered by Olaf last updated on 09/Oct/20 $$\frac{{u}_{{n}+\mathrm{1}} }{\mathrm{2}}+\mathrm{1}\:=\:{u}_{{n}} \\ $$$$\frac{{l}_{\mathrm{1}} }{\mathrm{2}}+\mathrm{1}\:=\:{l}_{\mathrm{1}} \:\Rightarrow\:{l}_{\mathrm{1}} \:=\:\mathrm{2} \\ $$$$…

If-6-3x-is-the-geometric-mean-between-the-integer-x-2-2-and-2-what-are-the-values-of-x-

Question Number 117082 by bobhans last updated on 09/Oct/20 $$\mathrm{If}\:\mathrm{6}−\mathrm{3x}\:\mathrm{is}\:\mathrm{the}\:\mathrm{geometric}\:\mathrm{mean}\:\mathrm{between} \\ $$$$\mathrm{the}\:\mathrm{integer}\:\mathrm{x}^{\mathrm{2}} +\mathrm{2}\:\mathrm{and}\:\bar {\mathrm{2}}\:\mathrm{what}\:\mathrm{are}\:\mathrm{the}\: \\ $$$$\mathrm{values}\:\mathrm{of}\:\mathrm{x}\:? \\ $$ Answered by bemath last updated on 09/Oct/20…

1-x-x-x-1-x-13-6-

Question Number 117026 by bemath last updated on 08/Oct/20 $$\:\frac{\sqrt{\mathrm{1}−\mathrm{x}}}{\:\sqrt{\mathrm{x}}}\:+\:\frac{\sqrt{\mathrm{x}}}{\:\sqrt{\mathrm{1}−\mathrm{x}}}\:=\:\frac{\mathrm{13}}{\mathrm{6}} \\ $$ Answered by 1549442205PVT last updated on 09/Oct/20 $$\mathrm{We}\:\mathrm{need}\:\mathrm{the}\:\mathrm{condition}\:\mathrm{for}\:\mathrm{the}\:\mathrm{equation} \\ $$$$\mathrm{is}\:\mathrm{defined}\:\mathrm{as}\:\mathrm{0}<\mathrm{x}<\mathrm{1}\left(\ast\right) \\ $$$$\:\frac{\sqrt{\mathrm{1}−\mathrm{x}}}{\:\sqrt{\mathrm{x}}}\:+\:\frac{\sqrt{\mathrm{x}}}{\:\sqrt{\mathrm{1}−\mathrm{x}}}\:=\:\frac{\mathrm{13}}{\mathrm{6}}\:\left(\mathrm{1}\right) \\…

solve-x-4-x-3-lt-2x-1-2-

Question Number 117027 by I want to learn more last updated on 09/Oct/20 $$\mathrm{solve}:\:\:\:\:\frac{\mathrm{x}\:\:−\:\:\mathrm{4}}{\mathrm{x}\:\:−\:\:\mathrm{3}}\:\:\:<\:\:\:\frac{\mathrm{2x}\:\:−\:\:\mathrm{1}}{\mathrm{2}} \\ $$ Answered by bemath last updated on 09/Oct/20 $$\Rightarrow\frac{\mathrm{x}−\mathrm{4}}{\mathrm{x}−\mathrm{3}}\:−\frac{\mathrm{2x}−\mathrm{1}}{\mathrm{2}}\:<\:\mathrm{0} \\…