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Vector calculus question

Hi,

I'm stuck on the question that is attached. I can follow it up until the second from last line that contains the inequality

4 x (1/2)(g^2) ...

I dont understand where this inequality has come from and why one side is multiplied by four and the other side has been squared.

Any help would be appreciated

IMG_20160718_181548816.jpg458.5KB

Reply 1

Math12345

The discriminant for no real roots needs to satisfy b^2-4ac<0 or 4ac>b^2 (remember this is for t>0 so we can divide by t in the cubic given to get a quadratic).

Reply 2

a nice man

Original post by Math12345

The discriminant for no real roots needs to satisfy b^2-4ac<0 or 4ac>b^2 (remember this is for t>0 so we can divide by t in the cubic given to get a quadratic).

Thanks for that, appreciate the help!

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