Discuss the nature of the roots of the following equations :

☆ 4x² – 5x – 3 = 0​

Question

Discuss the nature of the roots of the following equations :

☆ 4x² – 5x – 3 = 0​

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Cora 2 years 2021-06-24T13:00:17+00:00 2 Answers 0 views 0

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    0
    2021-06-24T13:01:18+00:00

    Equation : 4x² – 5x – 3 = 0

    ☆ Comparing with ax²+bx+c=0

    We get

    a=4

    b=-5

    c=-3

    Discriminant =b²-4ac

    => (-5)² -4(4)(-3)

    => 25 +48

    => 73 > 0

    Therefore

    • The equation has two distinct roots .
    0
    2021-06-24T13:01:48+00:00

    The given equation is 4x² – 5x – 3 = 0.

    ━━━━━━━━━━━━━━━━━

    • Comparing with ax² + bx + c = 0

    We get,

    ➣ a = 4

    ➣ b = -5

    ➣ c = -3

    ∴ Discriminant = b² – 4ac

    ➺ (-5)² – 4.4.(-3)

    ➺ 25 + 48

    ➺ 73 > 0

    ❑ Therefore,

    • Hence, the given equation has two distinct real roots.

    ━━━━━━━━━━━━━━━━━

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