question_answer

Find the value of \[{{\alpha }^{2}}+{{\beta }^{2}},\] if a quadratic polynomial \[f(x)=2{{x}^{2}}-mx+n\] has \[\alpha \] and \[\beta \] as its two zeros.

A)  \[\frac{1}{4}\,\,({{m}^{2}}-4n)\]         

B)  \[4\,\,({{m}^{2}}-4n)\]

C)  \[2\,\,(m-4n)\]               

D)  \[\frac{1}{2}\,\,(m-4n)\]

E)  None of these