Question
Question: If x<sup>2</sup> + 2ax + b ³ c, " x Ī R, then...
If x2 + 2ax + b ³ c, " x Ī R, then
A
b – c ³ a2
B
c – a ³ b2
C
a – b ³ c2
D
None of these
Answer
b – c ³ a2
Explanation
Solution
x2 + 2ax + b – c ³ 0, " x Ī R
Ž f(x) ³ 0
Ž D £ 0
Ž 4a2 – 4(b – c) £ 0
Ž a2 £ b – c