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Beliebt Algebra >

completesquare x^2+8x+14

Lösung

vervollständige das quadrat

x^{2} + 8 x + 14

Lösung

(x + 4)^{2} - 2

Schritte zur Lösung

x^{2} + 8 x + 14

Schreibe

x^{2} + 8 x + 14

in dieser Form:

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

2 a = 8 : a = 4

Addiere und subtrahiere

4^{2}

x^{2} + 8 x + 14 + 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} + 14 - 4^{2}

Vereinfache

(x + 4)^{2} - 2

Graph

Beliebte Beispiele

completesquare x^2+8x+16

co m pl e t es q u a re x^{2} + 8 x + 16

x^{2} + 8^{2} = 1 2^{2}

solvefor x,3x^2-2x-5=0

so l v e f or x, 3 x^{2} - 2 x - 5 = 0

- 72 x^{2} + 18 x + 3 = 0

y^{2} + 6 y = 0