5. The product of roots of quadratic equations 3x square-4x=o is ​

Question

5. The product of roots
of quadratic equations
3x square-4x=o is

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Gianna 1 month 2021-08-18T06:21:59+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-08-18T06:23:17+00:00

    Answer:

    imaginary

    Step-by-step explanation:

    Given equation is 3x

    2

    −4x+3=0

    To find, the nature of the roots of the equation

    An equation is said to have

    (i) two distinct and real roots if the discriminant b

    2

    −4ac>0

    (ii) equal real roots if b

    2

    −4ac=0

    (iii) no real roots or imaginary roots if b

    2

    −4ac<0

    In the given equation a=3,b=−4,c=3

    Hence the discriminant is (−4)

    2

    −4(3)(3)=16−36=−20<0

    Therefore the roots of the given equation are imaginary in nature.

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