c) Construct the quadratic whose roots are -1/3 and 2/3.​

Question

c) Construct the quadratic whose roots are -1/3 and 2/3.​

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Sadie 1 month 2021-08-16T21:35:43+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-16T21:37:07+00:00

    sum of roots =⅓

    product of roots =-²/⁹

    eq =9x²-3x-2

    0
    2021-08-16T21:37:15+00:00

    Step-by-step explanation:

    The roots a = -1/3 and b=2/3

    The quadratic equation with roots a and b can be formed as:

    X²-(a+b) X + ab = 0

    Here,

    a+b= (-1/3) + (2/3) = 1/3

    ab = (-1/3)*(2/3) = (-2/9)

    So equation is,

    • X²- (1/3)X + (-2/9) = 0
    • X² – (1/3)X -(2/9)=0
    • 9X² – 3X – 2 = 9 ( simplify the denominator)
    • 9X² – 3X -11 = 0

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