Solveeit Logo

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