मराठी

The value of m for which the quadratic equation 3x^2 – 7x + m = 0 has real and equal roots, is ______. - Mathematics

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प्रश्न

The value of m for which the quadratic equation 3x2 – 7x + m = 0 has real and equal roots, is ______.

पर्याय

  • 7

  • `49/12`

  • `49/3`

  • 4

MCQ
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उत्तर

The value of m for which the quadratic equation 3x2 – 7x + m = 0 has real and equal roots, is `underlinebb(49/12)`.

Explanation:

For the equation 3x2 – 7x + m = 0:

a = 3, b = –7, c = m

Set D = 0:

D = b2 – 4ac = 0

(−7)2 – 4(3)(m) = 0

49 – 12m = 0

12m = 49

`m = 49/12`

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