Hi everybody, this may be really simple and im just missing the point. But how can you calculate the 2 intersection points of 2 quadratics if one is x^2 and the other is -x^2?

Many thanks

Daniel

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- May 3rd 2010, 05:41 AMwilsnunnintersection points of 2 curves
Hi everybody, this may be really simple and im just missing the point. But how can you calculate the 2 intersection points of 2 quadratics if one is x^2 and the other is -x^2?

Many thanks

Daniel - May 3rd 2010, 05:50 AMmasters
- May 3rd 2010, 05:59 AMe^(i*pi)
- May 3rd 2010, 08:56 AMwilsnunn
- May 3rd 2010, 09:13 AMpiglet
$\displaystyle f(x) $ is just another name for y

let $\displaystyle y = y $

=> $\displaystyle x^{2} - 6x + 9 = -x^{2} +7x - 11 $

=> $\displaystyle 2x^{2} - 13x + 20 = 0 $

solve that quadratic for x and find the corresponding y value by subbing x into original equation of curve