Find the value of k for which the equation 3x2+2x+k=0 has distinct and real root.

Expert Solution

Given, 3x2 + 2x + k = 0

It’s of the form of ax2 + bx + c = 0

Where, a =3, b = 2, c = k

For the given quadratic equation to have real roots

D = b2 – 4ac ≥ 0

D = (2) 2 – 4(3)(k) ≥ 0

⇒ 4 – 12k ≥ 0

⇒ 4 ≥ 12k

⇒ k ≤ 1/3

The value of k should not exceed 1/3 to have real roots.

Nikhil Thakur answered 1 year ago

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