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Beliebt Algebra >

completesquare x^2-5x+3

Lösung

vervollständige das quadrat

x^{2} - 5 x + 3

Lösung

(x - \frac{5}{2})^{2} - \frac{13}{4}

Schritte zur Lösung

x^{2} - 5 x + 3

Schreibe

x^{2} - 5 x + 3

in dieser Form:

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

2 a = - 5 : a = - \frac{5}{2}

Addiere und subtrahiere

(- \frac{5}{2})^{2}

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

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

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

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

Vereinfache

(x - \frac{5}{2})^{2} - \frac{13}{4}

Graph

Beliebte Beispiele

x^{2} + 19 x + 90 = 0

completesquare x^2-6x+5=0

co m pl e t es q u a re x^{2} - 6 x + 5 = 0

x (x + 2) + 2 = 0

8 x^{2} - 7 x = 0

6 x^{2} + 3 x - 5 = 0