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Beliebt Algebra >

completesquare 5-4x-x^2

Lösung

vervollständige das quadrat

5 - 4 x - x^{2}

Lösung

- (x + 2)^{2} + 9

Schritte zur Lösung

5 - 4 x - x^{2}

Schreibe in der Standard Form

a x^{2} + b x + c

- x^{2} - 4 x + 5

Schreibe

- x^{2} - 4 x + 5

in dieser Form:

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

Klammere aus

- 1

- (x^{2} + 4 x - 5)

2 a = 4 : a = 2

Addiere und subtrahiere

2^{2}

- (x^{2} + 4 x - 5 + 2^{2} - 2^{2})

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

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

- ((x + 2)^{2} - 5 - 2^{2})

Vereinfache

- (x + 2)^{2} + 9

Graph

Beliebte Beispiele

4x(x-3)-(x-1)(x+3)=2(x-3)^2

4 x (x - 3) - (x - 1) (x + 3) = 2 (x - 3)^{2}

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2 r^{2} + 8 r + 8 = 0

2x^2-6x+6=c^1(x^2+x-1)+c^2(x^2-x+1)

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