Question
89 of
100
Question Palette
If (i) 10x² – 7x + 1 = 0 and
(ii) 35y² – 12y + 1 = 0, then:
Correct Option:
A
Explanation
From
10x^2-7x+1=0,
x=(7±3)/(20),
so
x=1/2 or 1/5.
From
35y^2-12y+1=0,
y=(12±2)/(70),
so
y=1/5 or 1/7.
Every possible x is at least as large as every corresponding possible y. Equality can occur at x=y=1/5. Hence:
x ≥ y.