quadritic equations...

The equation mod ax2+b modx+c=0 has exactly k real roots (b2-4ac≠0) then find the conditions for
1) k=1.
2) k=2.
3) k+3 and
4) k+4.

mod- modulus..

please!! will someone tell me how to copy the equations written on the latex to this post..

2 Answers

21
Shubhodip ·

|ax2| + b|x| + c = 0 or |a|x2 + b|x| + c = 0

If P is any non - zero real root of the above equation , -P is also a root

so k =1 if the above equation has only onne root ie zero

which gives c=0 and b>0

I think the rest can be or can't be done this way ;)

11
Joydoot ghatak ·

@shubhodip,
the equation is l ax2 +b lxl +c l =0.

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