Forme um und löse. (Rein quadratische Gleichung)

Question

a) (5x + 1)^2 = 10x + 5

b) (3x + 1) (3x - 1) = 15

Answer 1

(5x+1)^2 = 10x+5

25x^2 + 10x + 1 = 10x + 5   |-10-1

25x^2 = 4        |:25

x^2 = 4/25

x_1,2 = ±2/5

b) (3x + 1) (3x - 1) = 15   |Dritter Binomi

9x^2 - 1 = 15                    |+1

9x^2 = 16                         |:9

x^2 = 16/9

x_1,2 = ±4/3

Alles klar?

Grüße

Comments

Gerne ;)    .