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Beliebt Algebra >

completesquare x^2+11x+24

Lösung

vervollständige das quadrat

x^{2} + 11 x + 24

Lösung

(x + \frac{11}{2})^{2} - \frac{25}{4}

Schritte zur Lösung

x^{2} + 11 x + 24

Schreibe

x^{2} + 11 x + 24

in dieser Form:

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

2 a = 11 : a = \frac{11}{2}

Addiere und subtrahiere

(\frac{11}{2})^{2}

x^{2} + 11 x + 24 + (\frac{11}{2})^{2} - (\frac{11}{2})^{2}

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

x^{2} + 11 x + (\frac{11}{2})^{2} = (x + \frac{11}{2})^{2}

(x + \frac{11}{2})^{2} + 24 - (\frac{11}{2})^{2}

Vereinfache

(x + \frac{11}{2})^{2} - \frac{25}{4}

Graph

Beliebte Beispiele

7^{2} + 2^{2} = x^{2}

(x + 9)^{2} + 64 = 0

3x^2+7x+3=x^2+2x

3 x^{2} + 7 x + 3 = x^{2} + 2 x

7 + 5 x - 2 x^{2} = 0

11 a^{2} = - 4 a + 8