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Beliebt Algebra >

completesquare x^2-7x+10

Lösung

vervollständige das quadrat

x^{2} - 7 x + 10

Lösung

(x - \frac{7}{2})^{2} - \frac{9}{4}

Schritte zur Lösung

x^{2} - 7 x + 10

Schreibe

x^{2} - 7 x + 10

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 + 10 + (- \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} + 10 - (- \frac{7}{2})^{2}

Vereinfache

(x - \frac{7}{2})^{2} - \frac{9}{4}

Graph

Beliebte Beispiele

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t^{2} = 50

392 - 6 x^{2} = 0

completesquare 3x^2+8x+5=0

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