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Beliebt Algebra >

completesquare x^2+x-7

Lösung

vervollständige das quadrat

x^{2} + x - 7

Lösung

(x + \frac{1}{2})^{2} - \frac{29}{4}

Schritte zur Lösung

x^{2} + x - 7

Schreibe

x^{2} + x - 7

in dieser Form:

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

2 a = 1 : a = \frac{1}{2}

Addiere und subtrahiere

(\frac{1}{2})^{2}

x^{2} + x - 7 + (\frac{1}{2})^{2} - (\frac{1}{2})^{2}

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

x^{2} + 1 x + (\frac{1}{2})^{2} = (x + \frac{1}{2})^{2}

(x + \frac{1}{2})^{2} - 7 - (\frac{1}{2})^{2}

Vereinfache

(x + \frac{1}{2})^{2} - \frac{29}{4}

Graph

Beliebte Beispiele

completesquare x^2-20x

co m pl e t es q u a re x^{2} - 20 x

9 x = 5 - 2 x^{2}

solvefor x,x^2+2x+1=0

so l v e f or x, x^{2} + 2 x + 1 = 0

x^{2} - 16 = 20

s^{2} + 2 s + 9 = 0