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Noona1911
@Noona1911
May 2019
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Bonjour pourriez vous m'aider s'il vous plaît
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AM = x
aire AMPQ = x²
MB = 10 - x et BT= x
aire MBPT = x ( 10 - x ) = -
x² + 10 x
PR = 8 - x et QP = x
aire QPDR = x ( 8 - x ) =
8 x - x²
aire blanche = - x² + 10 x + 8 x - x² = - 2 x² + 18 x
- 2 x² + 18 = 4 x²
- 2 x
² - 4 x² = - 18
- 6 x² = - 18
x² = 3
x =
√3 ou - √3
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Verified answer
AM = xaire AMPQ = x²
MB = 10 - x et BT= x
aire MBPT = x ( 10 - x ) = - x² + 10 x
PR = 8 - x et QP = x
aire QPDR = x ( 8 - x ) = 8 x - x²
aire blanche = - x² + 10 x + 8 x - x² = - 2 x² + 18 x
- 2 x² + 18 = 4 x²
- 2 x² - 4 x² = - 18
- 6 x² = - 18
x² = 3
x = √3 ou - √3