Discussion

Explanation:

The roots of the equation 2x2 – 5x - 3 = 0 are 3 and -1/2.

Now the roots of the equation ax2 + bx + c = 0 are k more than these roots.

Hence, roots of ax2 + bx + c = 0 are 3 + k and -1/2 + k.

⇒ x = 3 + k should satisfy the given equation.

⇒ a(3 + k)2 + b(3 + k) + c = 0

⇒ ak2 + 6ak + 9a + 3b + kb + c = 0

⇒ ak2 + 6ak + kb + 9a + 3b + c = 0

⇒ k(ak + 6a + b) + 9a + 3b + c = 0

Hence, option (c).

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