• # question_answer If the roots of the quadratic equation $K{{x}^{2}}+3x+2=0$ are real and unequal, which of the following is true for K? A)  $K>9/8$         B)  $K<9/8$          C)         $K<-9/8$        D)         $K>8/9$

Roots are real and unequal, if                       $D={{b}^{2}}-4ac>0$ So, for equation $k{{x}^{2}}+3x+2=0$ roots will be real and unequal, it $D={{(3)}^{2}}-4\times 2\times K>0$ i.e.,       $9-8K>0\Rightarrow K>\frac{9}{8}$