completesquare 7s^2+6s+1

Lösung

vervollständige das quadrat

7 s^{2} + 6 s + 1

7 (s + \frac{3}{7})^{2} - \frac{2}{7}

Schritte zur Lösung

7 s^{2} + 6 s + 1

Schreibe

7 s^{2} + 6 s + 1

in dieser Form:

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

Klammere aus

7

7 (s^{2} + \frac{6 s}{7} + \frac{1}{7})

2 a = \frac{6}{7} : a = \frac{3}{7}

Addiere und subtrahiere

(\frac{3}{7})^{2}

7 (s^{2} + \frac{6 s}{7} + \frac{1}{7} + (\frac{3}{7})^{2} - (\frac{3}{7})^{2})

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

s^{2} + \frac{6}{7} s + (\frac{3}{7})^{2} = (s + \frac{3}{7})^{2}

7 ((s + \frac{3}{7})^{2} + \frac{1}{7} - (\frac{3}{7})^{2})

Vereinfache

7 (s + \frac{3}{7})^{2} - \frac{2}{7}

- x^{2} + 2 (x + 3) = 3 + 2 x

p^{2} + 13 p - 30 = 0

x^{2} + 4 a x - 12 a^{2} = 0

7^{2} + 2^{2} = c^{2}

so l v e f or x, y = - 0.00002 x^{2} + 0.0136 x + 0.1399