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Show that the equation x^2+ax-4=0 has a real and distinct roots for all real values of a.?
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Show that the equation x^2+ax-4=0 has a real and distinct roots for al...
The given equation with have real and distinct roots for D > 0

⇒ a^2 – 4 x 1 (–4) > 0

⇒ a^2 + 16 > 0

⇒ a^2 > – 16
Since square of any real value is positive. So a^2 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.
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Show that the equation x^2+ax-4=0 has a real and distinct roots for all real values of a.?
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