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
