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Beliebt Algebra >

completesquare x^2-x-20

Lösung

vervollständige das quadrat

x^{2} - x - 20

Lösung

(x - \frac{1}{2})^{2} - \frac{81}{4}

Schritte zur Lösung

x^{2} - x - 20

Schreibe

x^{2} - x - 20

in dieser Form:

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

2 a = - 1 : a = - \frac{1}{2}

Addiere und subtrahiere

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

x^{2} - x - 20 + (- \frac{1}{2})^{2} - (- \frac{1}{2})^{2}

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

x^{2} - 1 x + (- \frac{1}{2})^{2} = (x - \frac{1}{2})^{2}

(x - \frac{1}{2})^{2} - 20 - (- \frac{1}{2})^{2}

Vereinfache

(x - \frac{1}{2})^{2} - \frac{81}{4}

Graph

Beliebte Beispiele

2 x^{2} + 18 x = 7 x + 21

8 x^{2} - 13 x - 6 = 0

x (x + 6) = 216

600-200x+12x^2=0

600 - 200 x + 12 x^{2} = 0

solvefor x,x^2-2x+184=2x

so l v e f or x, x^{2} - 2 x + 184 = 2 x