Question

ajutor pls dau coroana si 50 de puncte

Answer 1

16⁸ : 8¹⁰ = ( 2⁴)⁸ : ( 2³)¹⁰ = 2⁽⁴ˣ⁸⁾ : 2⁽³ˣ¹⁰⁾ = 2³² : 2³⁰ = 2⁽³²⁻³⁰⁾ = 2² = 4

2,1(3) = ( 213 - 21) / 90 = 192/90 = (192 : 6) / (90 : 6) = 32/15

1 intreg si 1/3 = ( 1 x 3 + 1) / 3 = 4/3 

1 intreg si 1/5 = ( 1 x 5 + 1) / 5 = 6/5 

1 intreg si 2/3 = ( 1 x 3 + 2) /3 = 5/3  

8 intregi 8/15 { [  1/5 + x · ( 4/3 - 6/5 ) ] · 5/3 } : 32/15 = 4 

8 intregi si 8/15 = ( 8 x 15 + 8) / 15 = 128/15

128/15 · { [  1/5 + x · ( 4/3 - 6/5 ) ] · 5/3 }  = 4 · 32/15 = 128/15 

 [  1/5 + x · ( 4/3 - 6/5 ) ] · 5/3  = 128/15 : 128/15 

[ 1/5 + x · ( 20/15 - 18/15) ] · 5/3 = 128/15 · 15/128 

( 1/5 + x · 2/15 ) · 5/3 =  1 

3/15 + 2 x /15  = 1 : 5/3 

5 x /15 = 3/5

x/3 = 3/5 ⇒ 5 x = 3 · 3  ⇒ x = 9/5 = 1 intreg si 4/5 

Raspuns:  x = 1 intreg si 4/5