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Beliebt Algebra >

completesquare 9-8x-x^2

Lösung

vervollständige das quadrat

9 - 8 x - x^{2}

Lösung

- (x + 4)^{2} + 25

Schritte zur Lösung

9 - 8 x - x^{2}

Schreibe in der Standard Form

a x^{2} + b x + c

- x^{2} - 8 x + 9

Schreibe

- x^{2} - 8 x + 9

in dieser Form:

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

Klammere aus

- 1

- (x^{2} + 8 x - 9)

2 a = 8 : a = 4

Addiere und subtrahiere

4^{2}

- (x^{2} + 8 x - 9 + 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} - 9 - 4^{2})

Vereinfache

- (x + 4)^{2} + 25

Graph

Beliebte Beispiele

(x+5)^2=2x^2+14x+4

(x + 5)^{2} = 2 x^{2} + 14 x + 4

5 x^{2} - 15 x + 11 = 0

7 x^{2} - 6 x = - 1

solvefor x,x^2-4x+y^2-6y+22=0

so l v e f or x, x^{2} - 4 x + y^{2} - 6 y + 22 = 0

L(q)=-4q^2+1q-12

L (q) = - 4 q^{2} + 1 q - 12