(200-2x)x+100(50-x)=6240

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摘要 (200-2x)x + 100(50-x) = 6240

200x - 2x^2 + 5000 - 100x = 6240

-2x^2 + 100x + 5000 = 6240

-2x^2 + 100x + 5000 - 6240 = 0

-2x^2 + 100x - 1240 = 0

x^2 - 50x + 620 = 0

x = (-b ± √(b^2 - 4ac)) / (2a)

x = (-(-50) ± √((-50)^2 - 4(1)(620))) / (2(1))

x = (50 ± √(2500 - 2480)) / 2

x = (50 ± √20) / 2

x = (50 ± √(4*5)) / 2

x = (50 ± 2√5) / 2

x = (25 ± √5)

咨询记录 · 回答于2024-01-01

(200-2x)x+100(50-x)=6240

解题过程

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(200 - 2x)x + 100(50 - x) = 6240 200x - 2x^2 + 5000 - 100x = 6240 -2x^2 + 100x + 5000 = 6240 -2x^2 + 100x + 5000 - 6240 = 0 -2x^2 + 100x - 1240 = 0 x^2 - 50x + 620 = 0 x = (-b ± √(b^2 - 4ac)) / (2a) x = (-(-50) ± √((-50)^2 - 4(1)(620))) / (2(1)) x = (50 ± √(2500 - 2480)) / 2 x = (50 ± √20) / 2 x = (50 ± √(4*5)) / 2 x = (50 ± 2√5) / 2 x = (25 ± √5)

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