completesquare-8x^2+2x+10

Lösung

vervollständige das quadrat

- 8 x^{2} + 2 x + 10

- 8 (x - \frac{1}{8})^{2} + \frac{81}{8}

Schritte zur Lösung

- 8 x^{2} + 2 x + 10

Schreibe

- 8 x^{2} + 2 x + 10

in dieser Form:

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

Klammere aus

- 8

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

2 a = - \frac{1}{4} : a = - \frac{1}{8}

Addiere und subtrahiere

(- \frac{1}{8})^{2}

- 8 (x^{2} - \frac{x}{4} - \frac{5}{4} + (- \frac{1}{8})^{2} - (- \frac{1}{8})^{2})

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

x^{2} - \frac{1}{4} x + (- \frac{1}{8})^{2} = (x - \frac{1}{8})^{2}

- 8 ((x - \frac{1}{8})^{2} - \frac{5}{4} - (- \frac{1}{8})^{2})

Vereinfache

- 8 (x - \frac{1}{8})^{2} + \frac{81}{8}

a^{2} + 3. 4^{2} = 5. 6^{2}

6 t^{2} + 36 = 0

4 s^{2} - 20 s + 25 = 0

f a c t or 3 x^{2} - 8 x - 3 = 0

1 6^{2} = x^{2} + 8^{2}