Question

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

Options

• 7

• `49/12`

• `49/3`

• 4

Answer 1

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`