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veronica1
@veronica1
January 2021
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Bonjour aidez moi à cette question svp
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anylor
Bonjour
exercice 7
on sait que
1,41 <√2 < 1,42
donc
1,41 ×2 <√2 ×2 < 1,42× 2
2,82 < 2√2 < 2,84
2,82 / 3 < 2√2 / 3 < 2,84 /3
0,94 < 2√2 / 3 < 0.95 à 10-² près
exercice 8
on étudie le signe de la différence
a/b - 1 - ( 1- b/a)
on réduit au m^me dénominateur
= a²/ab - ab/ab - ( ab/ab - b²/ab)
= (a² -ab -ab +b²)/ ab
= (a² -2ab +b²)/ ab
=(a-b)² / ab
(a-b)² est positif car c'est un carré
ab est positif car ( - mutiplié par - c'est égal à +)
(a-b)² / ab> 0
donc a/b - 1> 1 - b/a
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exercice 7
on sait que
1,41 <√2 < 1,42
donc
1,41 ×2 <√2 ×2 < 1,42× 2
2,82 < 2√2 < 2,84
2,82 / 3 < 2√2 / 3 < 2,84 /3
0,94 < 2√2 / 3 < 0.95 à 10-² près
exercice 8
on étudie le signe de la différence
a/b - 1 - ( 1- b/a)
on réduit au m^me dénominateur
= a²/ab - ab/ab - ( ab/ab - b²/ab)
= (a² -ab -ab +b²)/ ab
= (a² -2ab +b²)/ ab
=(a-b)² / ab
(a-b)² est positif car c'est un carré
ab est positif car ( - mutiplié par - c'est égal à +)
(a-b)² / ab> 0
donc a/b - 1> 1 - b/a