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The equation which represents the above situation algebraically isa)2 + 7 − 120 = 0b) 2 + 5 − 120 = 0c) 82 + 7 − 120 = 0d) 2 + 2 − 120 = 0 |
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Answer» Given : The road from Alwah to Chagotar, is exactly perpendicular to the road going from Chagotkar to Barogh. The distance covered by the road between Chagotkar and Barogh is 7 kilometers more that the distance of the road connecting Alwah and Chagotkar. Ayushi is an engineer looking after the project of building a direct bypass road that would connect Alwah and Barogh and has proposed to construct a 17 km direct bypass road between the two cities.
To Find : The equation which represents the above situation algebraically is- b) x² + 5x − 120 = 0 c) 8x² + 7x − 120 = 0 d) x² + 2x − 120 = 0
Solution :
Pythagoras' theorem: square on the hypotenuse of a right-angled triangle is equal to the SUM of the squares of the other two perpendicular sides. x² + (x + 7)² = 17² => x² + x² + 14x + 49 = 289 => 2x² + 14x - 240 = 0 => x² + 7x - 120 = 0
x² + 7x − 120 = 0 represents the situation algebraically Learn More: The equation which represents the above situation algebraically The equation which represents the above situation algebraically i |
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