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Beliebt Algebra >

completesquare s^2-s+1

Lösung

vervollständige das quadrat

s^{2} - s + 1

Lösung

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

Schritte zur Lösung

s^{2} - s + 1

Schreibe

s^{2} - s + 1

in dieser Form:

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

2 a = - 1 : a = - \frac{1}{2}

Addiere und subtrahiere

(- \frac{1}{2})^{2}

s^{2} - s + 1 + (- \frac{1}{2})^{2} - (- \frac{1}{2})^{2}

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

s^{2} - 1 s + (- \frac{1}{2})^{2} = (s - \frac{1}{2})^{2}

(s - \frac{1}{2})^{2} + 1 - (- \frac{1}{2})^{2}

Vereinfache

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

Graph

Beliebte Beispiele

x^{2} = 24 x

7 x^{2} - 12 x = 9

39y^2-148y+132=0

39 y^{2} - 148 y + 132 = 0

(4x+1)^2+9(4x+1)=-18

(4 x + 1)^{2} + 9 (4 x + 1) = - 18

solvefor x,5x^2-12y^2+3xy^2=10

so l v e f or x, 5 x^{2} - 12 y^{2} + 3 x y^{2} = 10