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Black Advanced Problems in Mathematics
Exam
Black Advanced Problems in Mathematics
Subject
Mathematics
Chapter
Quadratic Equation

Black Advanced Problems in Mathematics · Mathematics · Quadratic Equation

If the equation ax^2 + bx + c = 0; a, b, c ∈ R and a ≠ 0 has no...

If the equation ax2+bx+c=0;a,b,c∈Rax^2 + bx + c = 0; a, b, c \in R and a≠0a \ne 0 has no real roots then which of the following is/are always correct?

Options

  1. A(a+b+c)(a−b+c)>0(a + b + c)(a - b + c) > 0
  2. B(a+b+c)(a−2b+4c)>0(a + b + c)(a - 2b + 4c) > 0
  3. C(a−b+c)(4a−2b+c)>0(a - b + c)(4a - 2b + c) > 0
  4. Da(b2−4ac)>0a(b^2 - 4ac) > 0.

Correct answer

A. (a+b+c)(a−b+c)>0(a + b + c)(a - b + c) > 0

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