Ecua'ii Iraționale.docx

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Test de evalure Clasa X-a real Tema: Ecuații și inecuații iraționale. 1. Să se afle domeniul maxim de definiție al funcției 𝑓(𝑥) = 2. Să se rezolve ecuațiile: a) √1 + 4𝑥 − 𝑥 2 = 𝑥 − 1 b) √3𝑥 + 4 + √𝑥 − 4 = 2√𝑥 c) (𝑥 2 − 1)√2𝑥 − 1=0 d) 1 − 4

14

√3𝑥+1

4

+ 3 √3𝑥 + 1 = 0.

3. Să se rezolve inecuațiile: a) √𝑥 2 + 4𝑥 − 5 − 2𝑥 > 0 𝑥−1

b) .√2𝑥+3 > 3

1 √𝑥 2 −4𝑥+3

.

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