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Beliebt Algebra >

completesquare x^2-3x+2

Lösung

vervollständige das quadrat

x^{2} - 3 x + 2

Lösung

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

Schritte zur Lösung

x^{2} - 3 x + 2

Schreibe

x^{2} - 3 x + 2

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

Vereinfache

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

Graph

Beliebte Beispiele

completesquare x^2-3x-4

co m pl e t es q u a re x^{2} - 3 x - 4

5 x^{2} - 40 x + 50 = 0

completesquare x^2-9x+7=0

co m pl e t es q u a re x^{2} - 9 x + 7 = 0

7 = x (x - 4)

15x^2-4x-126=-30

15 x^{2} - 4 x - 126 = - 30