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Beliebt Algebra >

completesquare x^2-7x

Lösung

vervollständige das quadrat

x^{2} - 7 x

Lösung

(x - \frac{7}{2})^{2} - \frac{49}{4}

Schritte zur Lösung

x^{2} - 7 x

Schreibe

x^{2} - 7 x

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

Vereinfache

(x - \frac{7}{2})^{2} - \frac{49}{4}

Graph

Beliebte Beispiele

2 x^{2} - 6 x + 12 = 0

completesquare x^2-2x+2

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

4 (x - 1)^{2} = 36

5 x^{2} + 40 x = 0

5 (x^{2} - 9) - 5 = - 5