3x-5=-2x^2select the two values of x that are roots of this equation

Question

3x-5=-2x^2select the two values of x that are roots of this equation

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Abigail 1 month 2021-10-17T11:54:26+00:00 1 Answer 0 views 0

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    0
    2021-10-17T11:56:24+00:00

    Answer:

    The two solutions for x are:

     -  \frac{5}{2}

    and

    1

    Step-by-step explanation:

    Order and solve the quadratic:

    3x - 5 =  -  2{x}^{2}  \\ 2 {x}^{2}  + 3x - 5 = 0 \\ 2 {x}^{2}  - 2x  + 5x - 5 = 0 \\ 2x(x - 1) + 5(x - 1) = 0 \\ (2x + 5)(x - 1) = 0 \\  \\ 2x + 5 = 0 \\ 2x =  - 5 \\ x =  -  \frac{5}{2}  \\  \\ x - 1 = 0 \\ x = 1

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