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Beliebt Algebra >

completesquare x^2+8x+41

Lösung

vervollständige das quadrat

x^{2} + 8 x + 41

Lösung

(x + 4)^{2} + 25

Schritte zur Lösung

x^{2} + 8 x + 41

Schreibe

x^{2} + 8 x + 41

in dieser Form:

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

2 a = 8 : a = 4

Addiere und subtrahiere

4^{2}

x^{2} + 8 x + 41 + 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} + 41 - 4^{2}

Vereinfache

(x + 4)^{2} + 25

Graph

Beliebte Beispiele

x^2+x+1/3 = 2/3

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

- 2 x^{2} - 5 x = 7

3 p (5 p - 1) = 0

solvefor y,x^2+xy+y^2=48

so l v e f or y, x^{2} + x y + y^{2} = 48

x (x - 3) = 5