Rozwiąż równanie asa: 2^x2−x+2 + 5 2^x2−x−1 = 26

Qulka: 8t+5t=26 t=2 x²−x−1=1 x=−1 lub x=2

pigor: ..., np. tak : 2 ^x2−x+2+5* 2 ^x2−x−1= 26 /*2 ⇔ 2 ^x2−x+2+1+5* 2 ^x2−x = 52 ⇔ ⇔ 2³* 2 ^x2−x+5* 2 ^x2−x −52= 0 ⇔ 13* 2 ^x2−x= 13*4 ⇔ 2 ^x2−x= 2² ⇔ ⇔ x²−x= 2 ⇔ x²−x−2= 0 ⇔ x²+x−2x−2= 0 ⇔ x(x+1)−2(x+1)= 0 ⇔ ⇔ (x+1) (x−2)= 0 ⇔ x= −1 v x=2 ⇔ x∊{−1,2}. ...