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The interval of 'a' for which expression x 2 -ax+1-2a 2 is always positive. How do we solve this

The interval of 'a' for which expression x2-ax+1-2a2 is always positive. 
How do we solve this

Grade:12

2 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
5 years ago
576-850_1.PNG
Arun
25750 Points
5 years ago
Dear Priya
 
Its determinant should be always negative
 
Hence
 
a^2 – 4(1 – 2a^2)
 
9 a^2 – 4
 
a belongs to (- 2/3 , 2/3)

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