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Beliebt Algebra >

completesquare 2x^2+16x+35

Lösung

vervollständige das quadrat

2 x^{2} + 16 x + 35

Lösung

2 (x + 4)^{2} + 3

Schritte zur Lösung

2 x^{2} + 16 x + 35

Schreibe

2 x^{2} + 16 x + 35

in dieser Form:

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

Klammere aus

2

2 (x^{2} + 8 x + \frac{35}{2})

2 a = 8 : a = 4

Addiere und subtrahiere

4^{2}

2 (x^{2} + 8 x + \frac{35}{2} + 4^{2} - 4^{2})

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

x^{2} + 8 x + 4^{2} = (x + 4)^{2}

2 ((x + 4)^{2} + \frac{35}{2} - 4^{2})

Vereinfache

2 (x + 4)^{2} + 3

Graph

Beliebte Beispiele

- 5 x - 2 = - 2 x^{2} - 2 x

x^{2} + 10 x = 3

completesquare x^2-4x+4

co m pl e t es q u a re x^{2} - 4 x + 4

solvefor x,y^4=y^2-x^2

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

(x + 5) (x + 7) = 0