1.

If the roots of 2x2 + kx + 3 = 0 are real and equal, then the value of k is A) ± 2√6B) ± 6√2 C) ± 4 D) ± 5

Answer»

Correct option is (A) ± 2√6

For equal roots, we have

\(b^2-4ac=0\)

\(\Rightarrow k^2-4\times2\times3=0\)

\(\Rightarrow k^2=24\)

\(\Rightarrow k=\pm\sqrt{24}\)

\(=\pm\sqrt{4\times6}=\pm2\sqrt6\)

Correct option is C) ± 2√6



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