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If a, b, c ∈ R , and the equation ax+ bx + c = 0 has no real roots, then

 (a)  (a + b + c) > 0

(b)   a(a + b + c) > 0

(c)   b (a + b + c) > 0

(d)   c(a + b + c) < 0 

1 Answer

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Best answer

Correct option (b)   a(a + b + c) > 0

Explanation:

a > 0

ƒ(0) ⇒ c > 0

ƒ(2) > 0 ⇒ a + b + c > 0

aƒ(1) > 0 & cƒ(1) > 0

a(a + b + c) > 0 and c (a + b + c) > 0

a < 0

ƒ(0) < 0 ⇒ c < 0

ƒ(1) < 0  a + b + c < 0

aƒ(1) > 0 & c.ƒ(1) > 0

a(a + b + c) > 0 and c (a + b + c) > 0

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