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Beliebt Algebra >

completesquare x^2+7x+12

Lösung

vervollständige das quadrat

x^{2} + 7 x + 12

Lösung

(x + \frac{7}{2})^{2} - \frac{1}{4}

Schritte zur Lösung

x^{2} + 7 x + 12

Schreibe

x^{2} + 7 x + 12

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 + 12 + (\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} + 12 - (\frac{7}{2})^{2}

Vereinfache

(x + \frac{7}{2})^{2} - \frac{1}{4}

Graph

Beliebte Beispiele

x^{2} + (m - 3) x + m = 0

x^{2} - 4 = x + 2

3 x^{2} - 16 x + 12 = 0

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

- x^{2} = 9