Missouri State University's High School Problem Page
	Barth's Sixth-Degree Surface rendered by Tore Nordstrand

If x + y + z = 0, x² + y² + z² = a, and x³ + y³ + z³ = b, express the following in terms of a and b:

• x⁴ + y⁴ + z⁴

• x⁵ + y⁵ + z⁵

• x⁶ + y⁶ + z⁶

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This page is maintained by Les Reid. Last updated 7-01-09.