Question

if alpha and beta are the zeros of

Answer 1

Answer:

f(x)=4x²-5x-1

=4x²+2x+2x-1

=2x(2x+1)-1(2x+1)

=(2x+1)(2x+1)

2x+1=0

2x=-1

x=-1\2

2x-1=0

2x=1

x=1\2

alpha =-1\2

beta=1\2

(1)=alpha-beta

=-1\2-1\2

=-1

(2)=(-1\2)²+(1\2)²

=1\4+1\4

=1+1\4=2\4=1\2