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If x^2 - ax + 4 > 0 for all real x, then find a.

If x^2 - ax + 4 > 0 for all real x, then find a. 

Grade:12

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
7 years ago
Ans:
Hello Student,
Please find answer to your qustion

f(x) = x^2 - ax + 4
f(x) > 0
For all x belong to real.
So f(x) = 0 does not have any real root.
Discriment < 0
(-a)2– 4(4) < 0
a2– 16 < 0
(a – 4)(a + 4) < 0
a\in (-4, 4)

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