the roots of the equation

x² = p

ŻŻŻŻŻŻŻŻ

4-x

are equal (i.e. b² -4ac = 0). find the values of p

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- May 16th 2006, 11:42 PMify00i need help!!
the roots of the equation

x² = p

ŻŻŻŻŻŻŻŻ

4-x

are equal (i.e. b² -4ac = 0). find the values of p - May 17th 2006, 04:35 AMtopsquarkQuote:

Originally Posted by**ify00**

$\displaystyle \frac{x^2}{4-x}=p$

So

$\displaystyle x^2=p(4-x)$

$\displaystyle x^2+px-4p=0$

$\displaystyle b^2-4ac=0$ so:

$\displaystyle p^2-4(-4p)=0$

$\displaystyle p(p+16)=0$

So p=0 or p=-16.

-Dan