Menu Close

Category: Algebra

solve-x-2-4x-4-x-2-4x-4-x-2-6x-9-

Question Number 172031 by Mikenice last updated on 23/Jun/22 $${solve}: \\ $$$$\sqrt{{x}^{\mathrm{2}} −\mathrm{4}{x}+\mathrm{4}}\:\:+\sqrt{{x}^{\mathrm{2}} +\mathrm{4}{x}+\mathrm{4}}\:=\sqrt{{x}^{\mathrm{2}} −\mathrm{6}{x}+\mathrm{9}} \\ $$ Answered by puissant last updated on 23/Jun/22 $$\Rightarrow\left({x}−\mathrm{2}\right)+\left({x}+\mathrm{2}\right)=\sqrt{{x}^{\mathrm{2}}…

let-and-be-the-root-of-the-equation-ax-2-bx-c-0-find-the-equation-whose-roots-are-1-1-and-1-1-

Question Number 172024 by Mikenice last updated on 23/Jun/22 $${let}\:\alpha\:{and}\:\beta\:{be}\:{the}\:{root}\:{of}\:{the}\:{equation} \\ $$$${ax}^{\mathrm{2}} +{bx}+{c}=\mathrm{0}.\:{find}\:{the}\:{equation}\:{whose}\:{roots} \\ $$$${are}\:\left(\frac{\mathrm{1}}{\alpha}+\frac{\mathrm{1}}{\beta}\right)\:{and}\:\left(\frac{\mathrm{1}}{\alpha}−\frac{\mathrm{1}}{\beta}\right) \\ $$ Answered by Rasheed.Sindhi last updated on 23/Jun/22 $${Given}\:{equation}:…

find-the-cubic-of-26-15-3-1-3-26-15-3-1-3-

Question Number 172022 by Mikenice last updated on 23/Jun/22 $${find}\:{the}\:{cubic}\:{of} \\ $$$$\sqrt[{\mathrm{3}}]{\mathrm{26}+\mathrm{15}\sqrt{\mathrm{3}}}\:\:\:+\:\sqrt[{\mathrm{3}}]{\mathrm{26}−\mathrm{15}\sqrt{\mathrm{3}}} \\ $$ Answered by Rasheed.Sindhi last updated on 23/Jun/22 $${Let}\:\sqrt[{\mathrm{3}}]{\mathrm{26}+\mathrm{15}\sqrt{\mathrm{3}}}\:\:\:+\:\sqrt[{\mathrm{3}}]{\mathrm{26}−\mathrm{15}\sqrt{\mathrm{3}}}\:={a} \\ $$$$\:{where}\:{a}\in\mathbb{R} \\…