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Beliebt Algebra >

completesquare x^2+x-30

Lösung

vervollständige das quadrat

x^{2} + x - 30

Lösung

(x + \frac{1}{2})^{2} - \frac{121}{4}

Schritte zur Lösung

x^{2} + x - 30

Schreibe

x^{2} + x - 30

in dieser Form:

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

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

Addiere und subtrahiere

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

x^{2} + x - 30 + (\frac{1}{2})^{2} - (\frac{1}{2})^{2}

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

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

(x + \frac{1}{2})^{2} - 30 - (\frac{1}{2})^{2}

Vereinfache

(x + \frac{1}{2})^{2} - \frac{121}{4}

Graph

Beliebte Beispiele

3+8x+2x^2+8x-42=8x+3

3 + 8 x + 2 x^{2} + 8 x - 42 = 8 x + 3

(x + 5)^{2} = 10 x

49 x^{2} = 56 x - 17

6 x^{2} = 216

6 x^{2} = 21 x