Question

Show that the equation x2+ax-4=0 has real and distinct roots

Answer 1

Answer:

The given equation with have real and distinct roots for D > 0

⇒ a2 – 4 × 1 (–4) > 0

⇒ a2 + 16 > 0

⇒ a2 > – 16

Since square of any real value is positive. So a2 will always be greater than – 16 for all real values of a

Hence the given equation has real and distinct roots for all real values of a.

Answer 2

Answer:

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