Question

Jaką liczbą jest x?

[ ( 5⁴/₉ - ( (0,25x +5 ³/₄ ) ÷1,8 ) ÷ 1²/₃ - ⁵/₆] : (-4,6)=-20²/₃ + 20,5

Answer 1

[ ( 5⁴/₉ - ( (0,25x +5 ³/₄ ) ÷1,8 ) ÷ 1²/₃ - ⁵/₆] : (-4,6)=-20²/₃ + 20,5

 

[ ( 49/₉ - ( (25/100x + 23/₄ ) ÷ 18/10 ) ÷ 5/₃ - ⁵/₆] : (-46/10) = - 62/₃ + 205/10

 

[ ( 49/₉ - ( (25/100x ÷ 18/10  + 23/₄  ÷ 18/10 ) ÷ 5/₃ - ⁵/₆] : (-46/10) = - 620/30 + 615/30

 

[ ( 49/₉ - ( (25/100x * 10/18  + 23/₄  * 10/18 ) * 3/5 - ⁵/₆] : (-46/10) = - 5/30

 

[ ( 49/₉ - ( (25/180x   + 230/72 ) * 3/5 - ⁵/₆] : (-46/10) = - 1/6

 

[ ( 49/₉ - ( (25/180x * 3/5   + 230/72  * 3/5 - ⁵/₆] : (-46/10) = - 1/6

 

[ ( 49/₉ - ( (5/60x  + 46/24 - ⁵/₆) : (-46/10) ]= - 1/6

 

[ ( 49/₉ - ( (5/60x  + 46/24 - 20/24) : (-46/10)] = - 1/6

 

[ ( 49/₉ - ( (5/60x  + 26/24) * (-10/46)] = - 1/6

 

[ ( 49/₉ - ( (5/60x * (-10/46)  + 26/24 * (-10/46) )]= - 1/6

 

[ ( 49/₉ - (-5/276x -  260/1104 )]= - 1/6

 

( 49/₉  + 5/276x + 260/1104 )= - 1/6

 

5/276x + 18032/3312 + 780/3312 = -1/6

 

5/276x + 18812/3312 = -1/6

 

5/276x = -1/6 - 18812/3312

 

5/276x = -552/3312 - 18812/3312

 

5/276x = -19364/3312

 

5/276x = -4841/828 /:  5/276

 

x =  -4841/828 * 276/5

 

x = - 4841/15

 

x  ≈ - 323