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Beliebt Algebra >

completesquare-x^2-3x-1

Lösung

vervollständige das quadrat

- x^{2} - 3 x - 1

Lösung

- (x + \frac{3}{2})^{2} + \frac{5}{4}

Schritte zur Lösung

- x^{2} - 3 x - 1

Schreibe

- x^{2} - 3 x - 1

in dieser Form:

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

Klammere aus

- 1

- (x^{2} + 3 x + 1)

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

Addiere und subtrahiere

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

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

Vereinfache

- (x + \frac{3}{2})^{2} + \frac{5}{4}

Graph

Beliebte Beispiele

2 (x - 3)^{2} = 50

faktorisieren 3+5x-2x^2=0

f a c t or 3 + 5 x - 2 x^{2} = 0

4 x^{2} + 2 x = 13

X^{2} - 7 X - 18 = 0

x(1-x)+(-0.02)-0.1x=0

x (1 - x) + (- 0.02) - 0.1 x = 0