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Fv2b
@Fv2b
May 2019
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Ex1: equations/inéquations 2nd svp
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(3x-1)(x-2) = -x(2-x)
⇒ (3x-1)(x-2) = x(-2+x)
⇒ (3x-1)(x-2) = x(x-2)
⇒ (3x-1)(x-2) - x(x-2) = 0
⇒ (x-2)[(3x-1)-x] = 0
⇒ x-2 = 0 ou 2x-1 = 0
⇒ x = 2 ou 2x = 1
⇒ x = 2 ou x = 1/2
4x² - 25 - (2x+5)(7-x) = 0
⇒ (2x+5)(2x-5) - (2x+5)(7-x) = 0
⇒ (2x+5)[(2x-5)-(7-x)] = 0
⇒ (2x+5)(3x-12) = 0
⇒ 2x+5 = 0 ou 3x-12 = 0
⇒ 2x = -5 ou 3x = 12
⇒ x = -5/2 ou x = 4
Le reste est trop flou
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⇒ (3x-1)(x-2) = x(-2+x)
⇒ (3x-1)(x-2) = x(x-2)
⇒ (3x-1)(x-2) - x(x-2) = 0
⇒ (x-2)[(3x-1)-x] = 0
⇒ x-2 = 0 ou 2x-1 = 0
⇒ x = 2 ou 2x = 1
⇒ x = 2 ou x = 1/2
4x² - 25 - (2x+5)(7-x) = 0
⇒ (2x+5)(2x-5) - (2x+5)(7-x) = 0
⇒ (2x+5)[(2x-5)-(7-x)] = 0
⇒ (2x+5)(3x-12) = 0
⇒ 2x+5 = 0 ou 3x-12 = 0
⇒ 2x = -5 ou 3x = 12
⇒ x = -5/2 ou x = 4
Le reste est trop flou