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Fantezi Cebir => Fantezi Cebir => Konuyu başlatan: stuart clark - Ekim 15, 2012, 04:20:40 ös

Başlık: no. of real roots
Gönderen: stuart clark - Ekim 15, 2012, 04:20:40 ös

number of real roots of the equation x⁸-x⁵+x²-x-1=0

Başlık: Ynt: no. of real roots
Gönderen: Lokman Gökçe - Ekim 16, 2012, 09:04:06 ös

Let f(x) = x⁸ - x⁵, g(x) = -x² + x + 1.

We write that f(x) = x⁵(x³ - 1).  x = 0 is a five multiple root and x = 1 is a simple root. Also x = 0 is turning point of f. If we draw graph of y = f(x) curve and y = g(x) parabola, we see that thare are two intersection points of f(x) = g(x)

Başlık: Ynt: no. of real roots
Gönderen: stuart clark - Ekim 21, 2012, 05:31:45 öö

Thanks Admin