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1 November, 06:42

Determine the number of solutions to the following system of equations. y=-3x^2-4x+7 and 3x+2y=18

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  1. 1 November, 07:05
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    Step-by-step explanation:

    y=-3x²-4x+7 ... (*)

    3x+2y=18 ... (**)

    use (*) put the value of y in (**):

    3x + 2 (-3x²-4x+7) = 18

    3x-6x²-8x + 14 - 18 = 0

    -6x²-5x - 4 = 0

    6x²+5x+4 = 0

    delta = b² - 4ac a = 6 b=5 c = 4

    delta = 5² - 4 (6) (4) = 25 - 96 = - 71 negatif

    so no reals solution
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