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Beliebt Algebra >

completesquare x^2+7x+2

Lösung

vervollständige das quadrat

x^{2} + 7 x + 2

Lösung

(x + \frac{7}{2})^{2} - \frac{41}{4}

Schritte zur Lösung

x^{2} + 7 x + 2

Schreibe

x^{2} + 7 x + 2

in dieser Form:

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

2 a = 7 : a = \frac{7}{2}

Addiere und subtrahiere

(\frac{7}{2})^{2}

x^{2} + 7 x + 2 + (\frac{7}{2})^{2} - (\frac{7}{2})^{2}

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

x^{2} + 7 x + (\frac{7}{2})^{2} = (x + \frac{7}{2})^{2}

(x + \frac{7}{2})^{2} + 2 - (\frac{7}{2})^{2}

Vereinfache

(x + \frac{7}{2})^{2} - \frac{41}{4}

Graph

Beliebte Beispiele

completesquare 2x^2-3x-5=0

co m pl e t es q u a re 2 x^{2} - 3 x - 5 = 0

x^{2} + 65 = 209

(x + 6)^{2} - 36 = 0

3 (x + 5)^{2} + 147 = 0

2 a = a^{2}