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Beliebt Algebra >

completesquare p^2+p+1

Lösung

vervollständige das quadrat

p^{2} + p + 1

Lösung

(p + \frac{1}{2})^{2} + \frac{3}{4}

Schritte zur Lösung

p^{2} + p + 1

Schreibe

p^{2} + p + 1

in dieser Form:

x^{2} + 2 a x + a^{2}

2 a = 1 : a = \frac{1}{2}

Addiere und subtrahiere

(\frac{1}{2})^{2}

p^{2} + p + 1 + (\frac{1}{2})^{2} - (\frac{1}{2})^{2}

x^{2} + 2 a x + a^{2} = (x + a)^{2}

p^{2} + 1 p + (\frac{1}{2})^{2} = (p + \frac{1}{2})^{2}

(p + \frac{1}{2})^{2} + 1 - (\frac{1}{2})^{2}

Vereinfache

(p + \frac{1}{2})^{2} + \frac{3}{4}

Graph

Beliebte Beispiele

- 3 x - 17 = x^{2} - 2

9 b^{2} + 8 b = - 2

0 = - (x + 5)^{2} - 1

x^{2} - 3 \cdot x + 2 = 0

36192=0.5q^2-50q+30000

36192 = 0.5 q^{2} - 50 q + 30000