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Beliebt Algebra >

completesquare x^2+8x+17

Lösung

vervollständige das quadrat

x^{2} + 8 x + 17

Lösung

(x + 4)^{2} + 1

Schritte zur Lösung

x^{2} + 8 x + 17

Schreibe

x^{2} + 8 x + 17

in dieser Form:

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

2 a = 8 : a = 4

Addiere und subtrahiere

4^{2}

x^{2} + 8 x + 17 + 4^{2} - 4^{2}

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

x^{2} + 8 x + 4^{2} = (x + 4)^{2}

(x + 4)^{2} + 17 - 4^{2}

Vereinfache

(x + 4)^{2} + 1

Graph

Beliebte Beispiele

completesquare x^2-5x+2=0

co m pl e t es q u a re x^{2} - 5 x + 2 = 0

completesquare 1/2 x^2+4x

co m pl e t es q u a re \frac{1}{2} x^{2} + 4 x

x^{2} - 10 = 15

x^2=(x-1)^2+(x-2)^2

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

10 x = - 25 - x^{2}