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I. ` 6x^(2) + 13x = 12 - x` II. ` 1+2y^(2) = 2y + (5y)/ 6 `A. If ` x gt y`B. If ` x lt y`C. If ` x = y`D. If ` x le y`

Answer» Correct Answer - D
I. ` 6x^(2) + 14x = 12`
` 3x^(2) + 7x - 6 = 0`
` (x+3)(3x-2) = 0 `
` x = -3, 2/3`
II. ` 1+2y^(2) = (17)/6 y`
` 12y^(2) - 17y+6 = 0`
` 12y^(2) - 8y- 9y+6 = 0`
` 4y(3y-2) - 3 (3y - 2) = 0`
` (3y-2) (4y-3) = 0`
` y = 2/3, 3/4`
Hence, ` x lt y`


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