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July 12th, 2019, 08:57 PM  #1 
Member Joined: Aug 2018 From: România Posts: 88 Thanks: 6  A grade three equation
Hello all, Solve the equation $\displaystyle x^3\{x \}^2+i[x]1=0$ where $\displaystyle i^2=1$. All the best, Integrator 
July 13th, 2019, 02:56 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,969 Thanks: 2219 
What do $\{x\}$ and $[x]$ mean in your equation?

July 13th, 2019, 07:49 AM  #3 
Senior Member Joined: Feb 2016 From: Australia Posts: 1,838 Thanks: 653 Math Focus: Yet to find out. 
That’s some smart 3rd graders

July 13th, 2019, 01:11 PM  #4 
Senior Member Joined: Jun 2019 From: USA Posts: 202 Thanks: 80  I assumed they meant 3rdorder. I can give you the engineering solution (attached). 
July 13th, 2019, 10:03 PM  #5 
Member Joined: Aug 2018 From: România Posts: 88 Thanks: 6  Hello, $\displaystyle x=[x]+\{x\}$.Par exemple $\displaystyle [3.7]=4$ and $\displaystyle \{3.7\}=0.3$. All the best, Integrator Last edited by Integrator; July 13th, 2019 at 10:11 PM. 
July 13th, 2019, 10:10 PM  #6 
Member Joined: Aug 2018 From: România Posts: 88 Thanks: 6  
July 14th, 2019, 07:40 AM  #7 
Senior Member Joined: Sep 2015 From: USA Posts: 2,552 Thanks: 1402  
July 14th, 2019, 08:01 AM  #8 
Member Joined: Aug 2018 From: România Posts: 88 Thanks: 6  
July 14th, 2019, 09:03 AM  #9 
Senior Member Joined: Jun 2019 From: USA Posts: 202 Thanks: 80  
July 14th, 2019, 10:06 AM  #10 
Global Moderator Joined: Dec 2006 Posts: 20,969 Thanks: 2219 
What definitions apply if $x$ isn't real? If $x$ has to be real, $0 < x < 1$, in order that $[x]= 0$, but there are no values of $x$ in that range that satisfy the equation.


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