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17sarah19
@17sarah19
April 2019
2
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Soit a=
1) Calculer a² et b²
2) En déduire les valeurs de a²+b² et \sqrt{ a{2}+b{2}
Merci de m'aider.
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senmusa
Verified answer
A = √5 ( 1-√2)
a² = 5(1+2-2√2)
= 5(3 - 2√2)
= 15 - 10√2
b = 5 + √2
b² = (5+√2)²
= 25 + 2 + 10√2
= 27 + 10√2
a² + b² = 15 - 10√2 + 27 + 10√2
= 42
√(a²+b²) = √42
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Verified answer
A = √5 ( 1-√2)a² = 5(1+2-2√2)
= 5(3 - 2√2)
= 15 - 10√2
b = 5 + √2
b² = (5+√2)²
= 25 + 2 + 10√2
= 27 + 10√2
a² + b² = 15 - 10√2 + 27 + 10√2
= 42
√(a²+b²) = √42
(distributivité)
(2e identité remarquable )
(1ère identité remarquable )