[Answer] Find the values of k for which the quadratic equation 3×2 + kx + 3 = 0 has real and equal roots.

The Question : Find the values of k for which the quadratic equation 3x² + kx + 3 = 0 has real and equal roots. 

Solution for the question :
Since the roots are real and equal, ∴ D = b2 − 4ac = 0⇒k2 − 4ac = 0⇒k2 – 4×3×3 = 0 (∵ a= 3, b=k , c= 3)⇒k2 = 36⇒k = 6 or −6

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