I. 4x = (103/5) + (222 – 212 + 13) II. (y + 2)2 = 12y – 11

I. 4x = (103/5) + (222 – 212 + 13)

II. (y + 2)2 = 12y – 11

a)            x> y

b)            y> x

c)            x = y or relation cannot be established

d)            x ≤ y

e)            x ≥ y

Sol:

I.

4x = (103/5) + (222 – 212 + 13)

4x = 200 + (484 – 441 + 13)

4x = 256

4x = 44

x = 4

II.

(y + 2)2 = 12y – 11

y2 + 4 + 4y = 12y – 11

y2 – 8y + 15 = 0

y2 – 5y – 3y + 15 = 0

y(y – 5) – 3(y – 5) = 0

y = 3 or 5

Hence, the relationship between x and y cannot

be established