0,1 ^(5x-8-x^2)= 100

Question

0,1 ^(5x-8-x^2)= 100

Answer 1

0.1=10^-1

10^(8-5x+x^2)=10^2

8-5x+x^2=2

x^2-5x+6=0

D=25-4*1*6=1

x=5+1/2=3

x2=5-1/2=2

Ответ  (3;2)

 

Answer 2

0,1 ^(5x-8-x^2)= 100

0,1 ^(5x-8-x^2)= 0,1^(-2)

5x-8-x^2 = -2

x^2-5x+6=0

x=3

x=2