Source: algebrica.org - CC BY-NC 4.0 https://algebrica.org/exercises/irrational-equations-module-a/ Fetched from algebrica.org test 7186; source modified 2025-03-15T16:38:16.
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\text{A1. } \quad \sqrt{x^2 -2x +1} = \sqrt{3}
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\text{A2. } \quad \sqrt{2x -x^2} = x -2
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\text{A3. } \quad \sqrt{4 -x} = 3- \sqrt{5 +x}
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\text{A4. } \quad \sqrt{3x^2 -8x} = -5
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\text{A5. } \quad \sqrt[3]{2x^2 +x -3} = \sqrt[3]{3}
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\text{A6. } \quad \sqrt{x+3} = 1 + \sqrt{2-x}
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\text{A7. } \quad \sqrt[5]{4x-6} = 2
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\text{A8. } \quad \sqrt{x+100} -x = -10