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Beliebt Algebra >

completesquare x^2+5x+4

Lösung

vervollständige das quadrat

x^{2} + 5 x + 4

Lösung

(x + \frac{5}{2})^{2} - \frac{9}{4}

Schritte zur Lösung

x^{2} + 5 x + 4

Schreibe

x^{2} + 5 x + 4

in dieser Form:

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

2 a = 5 : a = \frac{5}{2}

Addiere und subtrahiere

(\frac{5}{2})^{2}

x^{2} + 5 x + 4 + (\frac{5}{2})^{2} - (\frac{5}{2})^{2}

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

x^{2} + 5 x + (\frac{5}{2})^{2} = (x + \frac{5}{2})^{2}

(x + \frac{5}{2})^{2} + 4 - (\frac{5}{2})^{2}

Vereinfache

(x + \frac{5}{2})^{2} - \frac{9}{4}

Graph

Beliebte Beispiele

completesquare x^2+5x+7

co m pl e t es q u a re x^{2} + 5 x + 7

x^{2} = - 40

(x-5)(40-x)=4(x-5)

(x - 5) (40 - x) = 4 (x - 5)

x^2+6x+14=(x-h)2+k

x^{2} + 6 x + 14 = (x - h) 2 + k

x^{2} = 2.8