Find The Roots of the following Quadratic Equations by the  factorization method 2Y^2 +5/3 Y-2=0​

Question

Find The Roots of the following Quadratic Equations by the  factorization method 2Y^2 +5/3 Y-2=0​

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Katherine 1 month 2021-08-16T16:25:53+00:00 1 Answer 0 views 0

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    2021-08-16T16:27:49+00:00

    Answer:

    2 {y}^{2}  +  \frac{5}{3} y - 2 = 0

    Multiplying both side with 3.

    6 {y}^{2}  + 5y - 6 = 0 \\  \\ 6 {y}^{2}  + 9y - 4y - 6 = 0 \\  \\ 3y(2y + 3) - 2(2y + 3) = 0 \\  \\ (2y + 3) \:  \: (3y - 2) = 0

    If 2y + 3 = 0

    2y =  - 3 \\  \\ y =  \frac{ - 3}{2}

    If 3y – 2 = 0

    3y = 2 \\  \\ y =  \frac{2}{3}

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