Question

if alpha ans bita are zeros of quardiatic polynomial f(x)=4x2-4x+1,find the value of alpha/bita +bita /alpha​

Answer 1

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Answer 2

alpha/ bita + bita/ alpha

[(alpha)2+(bita)2] /alpha.bita

[(alpha + bita)2-2alpha bita ] /alpha.bita

such that ......

alpha.bita= c/a

=1/4

alpha+bita= -b/a

=4/4=1

[(1)2-2(1/4)] /1/4

=(1-1/2) /1/4

1/2*4

=2

this is answer