A) \[m=0\]
B) \[m<0\]
C) \[m\le 0\]
D) \[m\ge 0\]
Correct Answer: C
Solution :
(c): Discriminant \[{{\left( 6\left( m-3 \right) \right)}^{2}}-4\left[ 9\left( m+3 \right)\left( m+3 \right) \right]\] \[=36\left[ {{(m-3)}^{2}}-{{(m+3)}^{2}} \right]\] \[=36\left[ \left( {{m}^{2}}-6m+9 \right)-\left( {{m}^{2}}+6m+9 \right) \right]\] \[=36(-12\,m)\]. This must be non - negative for the roots to be real. \[\Rightarrow m<0\]
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