Find the discriminant of the equation 2×2 – 5x+3=0 and hence write the nature of the roots​

Question

Find the discriminant of the equation 2×2 – 5x+3=0 and hence write
the nature of the roots​

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Alexandra 1 month 2021-09-22T21:57:41+00:00 2 Answers 0 views 0

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    0
    2021-09-22T21:58:41+00:00

    Answer:

    Given:-

    ⇢ Find the discriminant of the equation 2×2 – 5x+3=0 and hence write the nature of the roots.

    Step-by-step-explanation:-

    \rm{2x^{2} - 5x +3}

    \rm{b^{2} - 4 ac}

    So as per the given,

    • a = 2 ,
    • b = -5,
    • c = 3

    \rm{(-5)^{2} - 4 \times 2 \times 3}

    \rm{25 - 24 = 1}

    {\boxed{\rm{Discriminant = 1}}}

    Therefore, 1 is the discriminant.

    Also, we know that Discriminant is greater than 0, Hence 1 is the nature of the roots.

    0
    2021-09-22T21:59:32+00:00

    Answer:

    Discriminant=b2-4ac

    a=2,b=5,c=3(Given in question)

    =5 square -4×2×3

    =25-24

    =1

    Nature of the roots are real and distinct because b2-4ac is greater than 0

    Step-by-step explanation:

    I hope this answer may help you

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