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Beliebt Algebra >

completesquare x^2+3/4 x-1

Lösung

vervollständige das quadrat

x^{2} + \frac{3}{4} x - 1

Lösung

(x + \frac{3}{8})^{2} - \frac{73}{64}

Schritte zur Lösung

x^{2} + \frac{3}{4} x - 1

Schreibe in der Standard Form

a x^{2} + b x + c

x^{2} + \frac{3 x}{4} - 1

Schreibe

x^{2} + \frac{3 x}{4} - 1

in dieser Form:

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

2 a = \frac{3}{4} : a = \frac{3}{8}

Addiere und subtrahiere

(\frac{3}{8})^{2}

x^{2} + \frac{3 x}{4} - 1 + (\frac{3}{8})^{2} - (\frac{3}{8})^{2}

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

x^{2} + \frac{3}{4} x + (\frac{3}{8})^{2} = (x + \frac{3}{8})^{2}

(x + \frac{3}{8})^{2} - 1 - (\frac{3}{8})^{2}

Vereinfache

(x + \frac{3}{8})^{2} - \frac{73}{64}

Graph

Beliebte Beispiele

y^{2} = - 4 y

8 x^{2} - 16 x = 0

2 x^{2} + 6 x = 80

5 q^{2} + q - 1 = 0

x^{2} - 9 x - 8 = 0