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July 5, 2015

Homework Help: Please check my maths answer?

Posted by Rikkie on Monday, June 15, 2009 at 10:17pm.

This is the question:

The straight line y=2p+1 intersects the curve y= x+ (p^2/x) at two distinct points. Find the range of values of p.

this is what i did:

2p +1 = x + p^2/x
simplify....
x^2 + (2p+1)x + p^2 = 0
b^2-4ac > 0
(-2p-1)^2 - 4(p^2) > 0
simplify....
4p + 1 > 0
P > -1/4

However, the correct answer should be:

p>-1/4, p is not equals to 0.

How do i get the second part "p not equals to 0"??

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