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Beliebt Algebra >

completesquare 7-8x-2x^2

Lösung

vervollständige das quadrat

7 - 8 x - 2 x^{2}

Lösung

- 2 (x + 2)^{2} + 15

Schritte zur Lösung

7 - 8 x - 2 x^{2}

Schreibe in der Standard Form

a x^{2} + b x + c

- 2 x^{2} - 8 x + 7

Schreibe

- 2 x^{2} - 8 x + 7

in dieser Form:

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

Klammere aus

- 2

- 2 (x^{2} + 4 x - \frac{7}{2})

2 a = 4 : a = 2

Addiere und subtrahiere

2^{2}

- 2 (x^{2} + 4 x - \frac{7}{2} + 2^{2} - 2^{2})

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

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

- 2 ((x + 2)^{2} - \frac{7}{2} - 2^{2})

Vereinfache

- 2 (x + 2)^{2} + 15

Graph

Beliebte Beispiele

x^{2} - 6 x - 66 = 0

6 x^{(2)} - 3 x = 0

28 x^{2} - 21 x = 0

solvefor y,e^{2x}=3y^2

so l v e f or y, e^{2 x} = 3 y^{2}

(x-9)^2+(x+3)^2=10x+54

(x - 9)^{2} + (x + 3)^{2} = 10 x + 54