Question

x^{4}-1296x=0

Answer 1

x⁴-1296x=0

x(x³-1296)=0

x=0 lub x³=1296

x=0 lub x=∛1296

Answer 2

x^4 - 1296x = 0

x(x^3 - 1296) = 0

x = 0 lub x^3 - 1296 = 0

              x^3 = 1296

 

 

1296 | 3
  432 | 3
  144 | 3
    48 | 3 
    16 | 2
      8| 2  
     4 | 2
     2 | 2   
     1 |

1296 = 3^3 * 2^3 * 2 * 3 = (3 * 2)^3 * 2 * 3 = 6^3 * 6

 

  x^3 = 1296

 x = ∛ 1296

x =  ∛(6^3 * 6

x = 6∛6  

 

odp. x = 0 lub x = 6∛6