(a) what should be add to k^2-10/11k to make it a perfect square? (b)solve the equation v^2-v-1=0?

Answer 1

(half of 10/11)^2 = ( 5/11)^2 =25/121
k^2 - 10/11 k + 25/121

v^2 - v = 1 divide -1 by 2 and then square and add both sides
v^2 - 1 v + 1/4 = 1 + 1/4
(v-1/2)(v-1/2) = 1.25
v - .5 = +/-1.25

Answer 2

v - 1/2 = ±√5/2
v = (1±√5)/2