completesquare 2t^2-2t+1

Lösung

vervollständige das quadrat

2 t^{2} - 2 t + 1

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

Schritte zur Lösung

2 t^{2} - 2 t + 1

Schreibe

2 t^{2} - 2 t + 1

in dieser Form:

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

Klammere aus

2

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

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

Addiere und subtrahiere

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

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

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

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

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

Vereinfache

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

so l v e f or b, \frac{4 x ^{2} + b ^{2} - 2 b x}{3} = y

0 = a^{2} - 2 a + 2.34

x^{2} + (6 + 2 x)^{2} = (9 + 2 x)^{2}

144.3 x^{2} - 350.98 x + 49.9947 = 0

9 x^{2} + 9 x^{2} = 7