Question

Rezolvati ecuatia ; 2x 4 la x -4 la ( x+1) +32 =0

Answer 1

Explicație pas cu pas:

2•(4^(x-4))^(x-1)=-32

(x-4)(x-1)=x^2-x-4x+4=x^2-5x+4

2^(2x^2-10x+8)=-16

2^(2x^2-10x+8)=-2^4

2x^2-10x+8=4

2x^2-10x=-4

Putem sa.i dam valori lui x:

x=1

2^2-10=-4

4-10=-4 -- gresit

x=2

4^2-20=-4

16-20=-4 -- corect

x=3

6^2-30=-4

36-30=-4 --gresit

x=4

8^2-40=-4

64-40=-4 --gresit

x=2