If quadratic equation does not have real roots

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

If quadratic equation ax2+bx+c=0ax^2 + bx + c = 0 does not have real roots, then which of the following may be false : (a) a(a−b+c)>0a(a-b+c) > 0 (b) c(a−b+c)>0c(a-b+c) > 0 (c) b(a−b+c)>0b(a-b+c) > 0 (d) (a+b+c)(a−b+c)>0(a+b+c)(a-b+c) > 0

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