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Beliebt Algebra >

completesquare x^2+8x+3

Lösung

vervollständige das quadrat

x^{2} + 8 x + 3

Lösung

(x + 4)^{2} - 13

Schritte zur Lösung

x^{2} + 8 x + 3

Schreibe

x^{2} + 8 x + 3

in dieser Form:

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

2 a = 8 : a = 4

Addiere und subtrahiere

4^{2}

x^{2} + 8 x + 3 + 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} + 3 - 4^{2}

Vereinfache

(x + 4)^{2} - 13

Graph

Beliebte Beispiele

solvefor x,x^2+y^2=z^2

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

5 x^{2} + 9 = 14

x^{2} - 17 x - 60 = 0

(x + 3)^{2} = 81

solvefor x,x^2+y^2=-1

so l v e f or x, x^{2} + y^{2} = - 1