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Beliebt Algebra >

completesquare x^2-5x+8

Lösung

vervollständige das quadrat

x^{2} - 5 x + 8

Lösung

(x - \frac{5}{2})^{2} + \frac{7}{4}

Schritte zur Lösung

x^{2} - 5 x + 8

Schreibe

x^{2} - 5 x + 8

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 + 8 + (- \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} + 8 - (- \frac{5}{2})^{2}

Vereinfache

(x - \frac{5}{2})^{2} + \frac{7}{4}

Graph

Beliebte Beispiele

- 3 x^{2} - 3 = 0

-0.5x^2+40x-300=50

- 0.5 x^{2} + 40 x - 300 = 50

24x^2+25(60)x-25(900)=0

24 x^{2} + 25 (60) x - 25 (900) = 0

x^{2} + 7 x + 20 = 8

x^{2} - 14 x + 49 = 72