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  4. If x1 and x2 are the roots of the equation 2 x2+6 x+a=0 satisfying the relation (x1/x2)+(x2/x1)<2 then 'a' must lie in the interval

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Q. If $x_1$ and $x_2$ are the roots of the equation $2 x^2+6 x+a=0$ satisfying the relation $\frac{x_1}{x_2}+\frac{x_2}{x_1}<2$ then 'a' must lie in the interval

Complex Numbers and Quadratic Equations

Solution:

Note that roots are real. Hence also the condition D $>0$