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Beliebt Algebra >

completesquare x^2+3x+4

Lösung

vervollständige das quadrat

x^{2} + 3 x + 4

Lösung

(x + \frac{3}{2})^{2} + \frac{7}{4}

Schritte zur Lösung

x^{2} + 3 x + 4

Schreibe

x^{2} + 3 x + 4

in dieser Form:

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

2 a = 3 : a = \frac{3}{2}

Addiere und subtrahiere

(\frac{3}{2})^{2}

x^{2} + 3 x + 4 + (\frac{3}{2})^{2} - (\frac{3}{2})^{2}

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

x^{2} + 3 x + (\frac{3}{2})^{2} = (x + \frac{3}{2})^{2}

(x + \frac{3}{2})^{2} + 4 - (\frac{3}{2})^{2}

Vereinfache

(x + \frac{3}{2})^{2} + \frac{7}{4}

Graph

Beliebte Beispiele

x^{2} + 30 x = - 161

3^{2} + 6^{2} = x^{2}

faktorisieren x^2-4x+3=0

f a c t or x^{2} - 4 x + 3 = 0

solvefor x,y=x^2-x

so l v e f or x, y = x^{2} - x

- x^{2} + 10 x - 16 = 0