Question

Prosze o rozwiązanie układu równań:

36=(v+6)(t-1)

36= vt

Answer 1

odp. w załączniku

Answer 2

36=[v+6][t-1]

36=vt

36/t=v

 

36=[36/t+6][t-1]

36=36/t*t-36/t*1+6t-6

36=36-36/t+6t-6    /*t

36t=36t-36+6t^2-6t

36t-36t+6t-6t^2=36

-6t^2+6t-36=0    /-6

t^2-t+6=0

delta=-1^2-4*1*6=1+24=25

pierw z delta=5

t1=1-5/2=-4/2=-2

t2=1+5/2=6/2=3

 czyli

t1=-2

t2=3

 

v=36/t

v1=36/t1=36/-2=-18

v2=36/t2=36/3=12

 

odp

t1=-2                               t2=3

v1=-18           i                 v2=12