Category: Algebra

Question Number 218093 by ArshadS last updated on 29/Mar/25 $$Solveforx$$$$\sqrt{2x+3}-\sqrt{x-2}=\sqrt{x+2}$$ Answered by vnm last updated on 29/Mar/25 $$2x+3={(\sqrt{x+2}+\sqrt{x-2})}^2=$$$${x}+\mathrm{2}+{x}−\mathrm{2}+\mathrm{2}\sqrt{\left({x}+\mathrm{2}\right)\left({x}−\mathrm{2}\right)}…

Question Number 218047 by dscm last updated on 27/Mar/25 $$Determinex:$$$$\sqrt{x+3}+\sqrt[3]{x+1}=2$$ Answered by Rasheed.Sindhi last updated on 27/Mar/25 $$\sqrt{x+3}+\sqrt[3]{x+1}=2$$$$\sqrt[{\mathrm{3}}]{{x}+\mathrm{1}}\:={y}\Rightarrow{x}={y}^{\mathrm{3}} −\mathrm{1}…

Question Number 218055 by ArshadS last updated on 27/Mar/25 Commented by ArshadS last updated on 27/Mar/25 $$Solve$$ Answered by Frix last updated on…

Question Number 218019 by dscm last updated on 26/Mar/25 $$x^2+y^2+x+y=18$$$$xy+x+y=7$$$$Solve.$$ Answered by Ghisom last updated on 26/Mar/25…

Question Number 217985 by hardmath last updated on 24/Mar/25 $${\mathrm{x}}^3-3\mathrm{x}+1=0$$$$\mathrm{The}\mathrm{roots}\mathrm{of}\mathrm{the}\mathrm{equation}\to \mathrm{a},\mathrm{b},\mathrm{c}$$$$\mathrm{Find}\to \sqrt[3]{\mathrm{a}}+\sqrt[3]{\mathrm{b}}+\sqrt[3]{\mathrm{c}}=?$$ Commented by Frix last updated on 24/Mar/25 $$\mathrm{suppose}\:{a}<{b}<{c}…