question_answer

If \[\alpha \] and \[\beta \] are real and \[{{\alpha }^{2}}\] and \[-\,{{\beta }^{2}}\] are the roots of \[4{{y}^{2}}+y+3=0,\] then find the value of\[{{\beta }^{2}}\]

A)  \[\left( \frac{5}{8},\,-1 \right)\]               

B)  \[\left( 1,-1 \right)\]

C)  \[\left( 1,\,\,\frac{3}{4} \right)\]              

D)  \[\left( 1,\frac{-3}{4} \right)\]

E)  None of these