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schepotkina
3 days ago
7

The quadratic function y = -x2 + 10x - 8 models the height of a trestle on a bridge. The x-axis represents ground level. To find

where the section of the bridge meets ground level, solve 0 = -x2 + 10x - 8. Where does this section of the bridge meet ground level? Choose an equation that would be used to solve 0 = -x2 + 10x – 8 (x + 25)2 = –8 (x – 5)2 = 17 (x – 10)2 = 25 Solve the equation to find where the trestle meets ground level. Enter your answers from least to greatest and round to the nearest tenth. The trestle meets the ground at units and units.
Mathematics
2 answers:
lawyer [9.2K]3 days ago
5 0

Réponse:

La trestle rencontre le niveau du sol à 0,9 unités et 9,1 unités

Explication étape par étape:

Svet_ta [9.5K]3 days ago
5 0

La trestle atteint le niveau du sol aux unités 0,9 et 9,1

Explication étape par étape:

∵ -x² + 10x - 8 = 0 ⇒ × (-1)

∴ x² - 10x + 8 = 0

∵ 10x/2 = 5x ⇒ (x) × (5) ⇒ le carré de x est x² et le carré de 5 est 25

En utilisant la forme du carré complet

∴ (x² - 10x + 25) - 25 + 8 = 0

∴ (x - 5)² - 17 = 0

∴ (x - 5)² = 17 ⇒ prenez la racine carrée des deux côtés

∴ x - 5 = -√17 ⇒ x = -√17 + 5 = 0,9

∴ x - 5 = √17 ⇒ x = √17 + 5 = 9,1

∴ La trestle atteint le niveau du sol aux unités x = 0,9 et x = 9,1

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