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Beliebt Algebra >

completesquare x^2-19x

Lösung

vervollständige das quadrat

x^{2} - 19 x

Lösung

(x - \frac{19}{2})^{2} - \frac{361}{4}

Schritte zur Lösung

x^{2} - 19 x

Schreibe

x^{2} - 19 x

in dieser Form:

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

2 a = - 19 : a = - \frac{19}{2}

Addiere und subtrahiere

(- \frac{19}{2})^{2}

x^{2} - 19 x + (- \frac{19}{2})^{2} - (- \frac{19}{2})^{2}

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

x^{2} - 19 x + (- \frac{19}{2})^{2} = (x - \frac{19}{2})^{2}

(x - \frac{19}{2})^{2} - (- \frac{19}{2})^{2}

Vereinfache

(x - \frac{19}{2})^{2} - \frac{361}{4}

Graph

Beliebte Beispiele

quadraticformula 3x^2-x-2=0

q u a d r a t i c f or m u l a 3 x^{2} - x - 2 = 0

- x^{2} + 16 x - 63 = 0

completesquare m^2-12m+26=0

co m pl e t es q u a re m^{2} - 12 m + 26 = 0

solvefor x,x^2-12x+59=0

so l v e f or x, x^{2} - 12 x + 59 = 0

(y-3)(y-2)=6(y-3)

(y - 3) (y - 2) = 6 (y - 3)