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jiji5
@jiji5
January 2021
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heelp :(
ps : tt en bas le deniers nombre c est 29/4
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MichaelS
Verified answer
1 ≤ x ≤ 2 et 1/2 ≤y ≤ 3/2
1² - (1/2)² + 1 + (1/2) ≤ x² - y² + x + y ≤ 2² - (3/2)² + 2 + (3/2)
9/4 ≤ x² - y² + x + y ≤ 21/4
9/4 ≤ E ≤ 21/4
----------------------------------------------
(x + y)(x - y + 1) = x² - xy + x + yx - y² + y
(x + y)(x - y + 1) = x² - y² + x + y
(x + y)(x - y + 1) = E
----------------------------------------------------
(1 + 1/2)(1 - 1/2 + 1) ≤ (x + y)(x - y + 1) ≤ (2 + 3/2)(2 - 3/2 + 1)
9/4 ≤ (x + y)(x - y + 1) ≤ 21/4
9/4 ≤ E ≤ 21/4
-----------------------------------------
3/4 ≤ 9/4 ≤ E ≤ 21/4 ≤ 29/4
3/4 ≤ E ≤ 29/4
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svpppo c est juste un ptit exercice plss help
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Je veux juste savoir est ce que c est juste ! c est sur la comparaison dans IR
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svpp si vous pouvez m aider :)
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svp c est un exercice sur la comparaison dans IR plzz
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svp j ai besoin d aide ( c est urgent ) :)
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plsss heeeelp svp aidez moi ! :(
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Verified answer
1 ≤ x ≤ 2 et 1/2 ≤y ≤ 3/21² - (1/2)² + 1 + (1/2) ≤ x² - y² + x + y ≤ 2² - (3/2)² + 2 + (3/2)
9/4 ≤ x² - y² + x + y ≤ 21/4
9/4 ≤ E ≤ 21/4
----------------------------------------------
(x + y)(x - y + 1) = x² - xy + x + yx - y² + y
(x + y)(x - y + 1) = x² - y² + x + y
(x + y)(x - y + 1) = E
----------------------------------------------------
(1 + 1/2)(1 - 1/2 + 1) ≤ (x + y)(x - y + 1) ≤ (2 + 3/2)(2 - 3/2 + 1)
9/4 ≤ (x + y)(x - y + 1) ≤ 21/4
9/4 ≤ E ≤ 21/4
-----------------------------------------
3/4 ≤ 9/4 ≤ E ≤ 21/4 ≤ 29/4
3/4 ≤ E ≤ 29/4