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Beliebt Algebra >

completesquare x^2+3/2 x

Lösung

vervollständige das quadrat

x^{2} + \frac{3}{2} x

Lösung

(x + \frac{3}{4})^{2} - \frac{9}{16}

Schritte zur Lösung

x^{2} + \frac{3}{2} x

Schreibe in der Standard Form

a x^{2} + b x + c

x^{2} + \frac{3 x}{2}

Schreibe

x^{2} + \frac{3 x}{2}

in dieser Form:

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

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

Addiere und subtrahiere

(\frac{3}{4})^{2}

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

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

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

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

Vereinfache

(x + \frac{3}{4})^{2} - \frac{9}{16}

Graph

Beliebte Beispiele

(x + 5) x = 104

log_{10}(2)x^2+2=6

lo g_{10} (2) x^{2} + 2 = 6

d^{2} - d - 56 = 0

r^{2} + 8 r + 208 = 0

r (r - 1) = 0