Ответ:

k1=1

k2=-47/45

Объяснение:

По теореме Виета

x1×x2=-5/(k+1)

x1+x2=(k+2)/(k+1)

(x1+x2)^2=x1^2+2×x1×x2+x2^2u

x1^2+x2^2=((k+2)/(k+1))^2+10/(k+1)

(x1-x2)^2=x1^2-2×x1×x2+x2^2

x1-x2=sqrt(((k+2)/(k+1))^2+10/(k+1)+10/(k+1))

3,5^2=(k^2+24k+24)/(k+1)^2

49k^2+98k+49=4k^2+96k+96

45k^2+2k-47=0

D=4+8460=8464=92^2

k=(-2+-92)/90={1;-47/45}