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Category: Algebra

1-a-1-0-b-2-x-2-2ax-a-b-1-b-2-find-the-range-of-x-x-R-

Question Number 178640 by CrispyXYZ last updated on 19/Oct/22 $$\forall−\mathrm{1}\leqslant{a}\leqslant\mathrm{1},\:\exists\mathrm{0}\leqslant{b}\leqslant\mathrm{2},\:{x}^{\mathrm{2}} −\mathrm{2}{ax}+{a}\geqslant\mid{b}−\mathrm{1}\mid+\mid{b}−\mathrm{2}\mid \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{range}\:\mathrm{of}\:{x}.\:\left({x}\in\mathbb{R}\right) \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Be-calm-then-solve-x-2-7x-8-x-3-2-

Question Number 178612 by Acem last updated on 19/Oct/22 $${Be}\:{calm}\:{then}\:{solve}\:\mid\frac{{x}^{\mathrm{2}} +\mathrm{7}{x}−\mathrm{8}}{{x}+\mathrm{3}}\mid\geqslant\:\mathrm{2} \\ $$ Answered by cortano1 last updated on 19/Oct/22 $$\:\mathrm{x}\neq−\mathrm{3} \\ $$$$\:\mid\mathrm{x}^{\mathrm{2}} +\mathrm{7x}−\mathrm{8}\mid\geqslant\mid\mathrm{2x}+\mathrm{6}\mid \\…

Let-a-b-2023-Find-values-of-a-b-N-

Question Number 178596 by Acem last updated on 18/Oct/22 $${Let}\:\sqrt{{a}}+\:\sqrt{{b}}=\:\sqrt{\mathrm{2023}}\:\:\:,\:{Find}\:{values}\:{of}\:{a},\:{b}\:\in\:\mathbb{N} \\ $$ Commented by mr W last updated on 18/Oct/22 $${a}=\mathrm{7}\left(\mathrm{17}−{n}\right)^{\mathrm{2}} \\ $$$${b}=\mathrm{7}{n}^{\mathrm{2}} \\ $$$${with}\:{n}=\mathrm{1},\mathrm{2},…,\mathrm{16}…

Solve-2x-x-1-3-

Question Number 178595 by Acem last updated on 18/Oct/22 $${Solve}\:\frac{\mathrm{2}{x}}{{x}+\mathrm{1}}\geqslant\:\mathrm{3} \\ $$ Answered by Acem last updated on 19/Oct/22 $${The}\:{safest}\:{and}\:{surest}\:{way}\:{to}\:{avoid}\:{making} \\ $$$$\:{mental}\:{mistakes}: \\ $$$$ \\…