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Beliebt Algebra >

completesquare x^2+12x-69

Lösung

vervollständige das quadrat

x^{2} + 12 x - 69

Lösung

(x + 6)^{2} - 105

Schritte zur Lösung

x^{2} + 12 x - 69

Schreibe

x^{2} + 12 x - 69

in dieser Form:

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

2 a = 12 : a = 6

Addiere und subtrahiere

6^{2}

x^{2} + 12 x - 69 + 6^{2} - 6^{2}

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

x^{2} + 12 x + 6^{2} = (x + 6)^{2}

(x + 6)^{2} - 69 - 6^{2}

Vereinfache

(x + 6)^{2} - 105

Graph

Beliebte Beispiele

3 x^{2} = 12 x^{2} - 144

3(y+1)^2-10(y+1)+8=0

3 (y + 1)^{2} - 10 (y + 1) + 8 = 0

3 w^{2} + 49 w + 60 = 0

d(x)=5x^2+3x-4,d(2x-3)

d (x) = 5 x^{2} + 3 x - 4, d (2 x - 3)

completesquare x^2+8x-7

co m pl e t es q u a re x^{2} + 8 x - 7