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Soustavy nerovnic - GJŠ Zlín - Student - Gymnázium a Jazyková ...

Soustavy nerovnic - GJŠ Zlín - Student - Gymnázium a Jazyková ...

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<strong>Soustavy</strong> <strong>nerovnic</strong><br />

<strong>Soustavy</strong> <strong>nerovnic</strong> o jedné neznámé (7. - 8. lekce)<br />

Pˇríklad 4<br />

2x 2 − x − 1 ≥ 0 ∧ x 2 − 2x − 2 ≤ 0<br />

Nulové body: x1,2 = 1±√ 9<br />

4<br />

Nulové body: x1,2 = 2±√ 12<br />

2<br />

x1 = 1, x2 = − 1<br />

2<br />

x1 = 1 + √ 3, x2 = 1 − √ 3<br />

x ∈ −∞, − 1<br />

√ √ <br />

2 ∪ 〈1, ∞) x ∈ 1 − 3, 1 + 3<br />

−2 −1 0 1 2 3 4<br />

x

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