Question

if alpha and beta are the zeros of polynomial x2 + 3x + 6 find the value of Alpha / beta + beta /Alpha

Answer 1

Answer:

2

Step-by-step explanation:

p(x)=x2+3x+6

p(α)=2α+3α+6=0

=5α+6=0

=5α=-6

=α=-6/5

p(β)=2β+3β+6=0

=5β+6=0

=5β=-6

=β=-6/5

α/β+β/α =-6/5/-6/5 + -6/5/-6/5

=-6/5 × -5/6 + -6/5 × -5/6

=-1 × -1 + -1 × -1

=1 + 1

=2