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Beliebt Algebra >

completesquare x^2-5x+1

Lösung

vervollständige das quadrat

x^{2} - 5 x + 1

Lösung

(x - \frac{5}{2})^{2} - \frac{21}{4}

Schritte zur Lösung

x^{2} - 5 x + 1

Schreibe

x^{2} - 5 x + 1

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 + 1 + (- \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} + 1 - (- \frac{5}{2})^{2}

Vereinfache

(x - \frac{5}{2})^{2} - \frac{21}{4}

Graph

Beliebte Beispiele

x = \frac{1}{3} x^{2}

(a - 2)^{2} = 8

(x-1)(x+1)=-(4x+5)

(x - 1) (x + 1) = - (4 x + 5)

76x^2-140x-846=0

76 x^{2} - 140 x - 846 = 0

9.81*450*0.05091=36.2925x^2

9.81 \cdot 450 \cdot 0.05091 = 36.2925 x^{2}