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Beliebt Algebra >

completesquare x^2+5x-7

Lösung

vervollständige das quadrat

x^{2} + 5 x - 7

Lösung

(x + \frac{5}{2})^{2} - \frac{53}{4}

Schritte zur Lösung

x^{2} + 5 x - 7

Schreibe

x^{2} + 5 x - 7

in dieser Form:

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

2 a = 5 : a = \frac{5}{2}

Addiere und subtrahiere

(\frac{5}{2})^{2}

x^{2} + 5 x - 7 + (\frac{5}{2})^{2} - (\frac{5}{2})^{2}

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

x^{2} + 5 x + (\frac{5}{2})^{2} = (x + \frac{5}{2})^{2}

(x + \frac{5}{2})^{2} - 7 - (\frac{5}{2})^{2}

Vereinfache

(x + \frac{5}{2})^{2} - \frac{53}{4}

Graph

Beliebte Beispiele

completesquare x^2+5x-1

co m pl e t es q u a re x^{2} + 5 x - 1

completesquare x^2+5x-3

co m pl e t es q u a re x^{2} + 5 x - 3

3x-7+x(x-3)=2x+8

3 x - 7 + x (x - 3) = 2 x + 8

sqrt(3)^2+1^2=x^2

3^{2} + 1^{2} = x^{2}

completesquare 3x^2-24x

co m pl e t es q u a re 3 x^{2} - 24 x