What is the sum of roots of the quadratic equation 6x² – 18x + 12 = 0?​

Question

What is the sum of roots of the quadratic
equation 6x² – 18x + 12 = 0?​

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Melanie 1 month 2021-08-13T15:00:40+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-13T15:01:44+00:00

    SOLUTION:-

    Given

    ▪︎ 6x²-18x+12=0

    To find

    ▪︎ Sum of roots?

    Explanation

    ▪︎ 6x²-18x+12=0

    =>> 6x²- ( 12+6)x +12=0

    =>> 6x²-12x-6x +12=0

    =>> 6x(x-2)-6(x-2)=0

    =>> (x-2)(6x-6)=0

    =>> x-2=0, 6x-6=0

    =>> x=2, x= 6/6

    Sum of Roots = -b/a

    2+ 6/6 = -(-18)/6

    12+6 / 6 = 3

    18/6 = 3

    3 = 3

    _______________________________

    0
    2021-08-13T15:02:05+00:00

    Step-by-step explanation:

    Let the two zeroes be’a’and’b’

    6x^2-18x+12=0

    6x^2-6x-12x+12=0.

    6x(x-1)-12(x-1)=0

    (6x-12)(x-1)=0

    6x-12=0 or x-1=0

    x=2 or x=1

    a=2 , b=1

    Sum= a+b=2+1=3

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