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    Find the roots of the equation 6p2−5p−6=0.6p^2-5p-6=0.6p2−5p−6=0.​​
    Question

    Find the roots of the equation 6p25p6=0.6p^2-5p-6=0.​​

    A.

    -2/3  and  3/2

    B.

    3/4  and  3/2

    C.

    2/3  and  2/3

    D.

    -1/3  and  4/3

    Correct option is A

    Given:​

    6p2^2​−5p−6=0.  

    Solution:

    ​​6p2^2−5p−6=0.    

    6p2^2−(9-4)p−6=0.    

    6p2^2−9p  + 4p −6=0.    

    3p(2p -3) + 2(2p - 3) = 0 

    (3p + 2) (2p - 3 )  = 0 

    then 

    (3p + 2)  = 0 

    p = 23\frac{-2}{3} 

    (2p - 3 ) = 0 

    p = 32\frac{3}{2} 

    The value of P = 23\frac{-2}{3}  , 32\frac{3}{2}​​

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