Solution - Nonlinear equations

Step by step solution :

Step  1  :

Step  2  :

Pulling out like terms :

 2.1     Pull out like factors :

   -x²³ - 1  =   -1 • (x²³ + 1) 

Equation at the end of step  2  :

  -x23 - 1  = 0 

Step  3  :

Solving a Single Variable Equation :

 3.1      Solve  :    -x²³-1 = 0 

 Add  1  to both sides of the equation : 
                      -x²³ = 1
Multiply both sides of the equation by (-1) :  x²³ = -1


                     x  =  23rd root of (-1) 

 Negative numbers have real 23th roots.
 23rd root of (-1) = ²³√ -1• 1  = ²³√ -1 • ²³√ 1  =(-1)•²³√ 1 

The equation has one real solution, a negative number This solution is  x = negative

One solution was found :