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Beliebt Algebra >

completesquare x^2-7x-3

Lösung

vervollständige das quadrat

x^{2} - 7 x - 3

Lösung

(x - \frac{7}{2})^{2} - \frac{61}{4}

Schritte zur Lösung

x^{2} - 7 x - 3

Schreibe

x^{2} - 7 x - 3

in dieser Form:

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

2 a = - 7 : a = - \frac{7}{2}

Addiere und subtrahiere

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

x^{2} - 7 x - 3 + (- \frac{7}{2})^{2} - (- \frac{7}{2})^{2}

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

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

(x - \frac{7}{2})^{2} - 3 - (- \frac{7}{2})^{2}

Vereinfache

(x - \frac{7}{2})^{2} - \frac{61}{4}

Graph

Beliebte Beispiele

3 v^{2} + 17 v + 17 = - 2

5 x^{2} = 100 x

3 x^{2} + 7 = - 8 x + 3

2(2x-5)=-4x(x-1)

2 (2 x - 5) = - 4 x (x - 1)

completesquare 3x^2+5x+3

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