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What are the 2 solutions to the equation x plus 3 divided by 3x plus 1 equals 2x-1 divided by 3-2x?
JimmyT90
Cross-multiplying gives:
(x + 3)(3 - 2x) = (3x + 1)(2x - 1)
ie -2x2 - 3x + 9 = 6x2 - x - 1
add 2x2 to each side: -3x + 9 = 8x2 - x - 1
add 3x to each side: 9 = 8x2 + 2x - 1
subtract 9 from each side: 8x2 + 2x - 10 = 0
divide by 2: 4x2 + x - 5 = 0
Factors are: (4x + 5)(x - 1)
x = -1.25 or 1
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∙ 11y ago
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