Solve the equation after making an appropriate substitution. x^6-98x^3=3375

Rearrange  to give



Let  be a variable 'p' and so we can write  as 

Rewrite the equation in terms of 'p'



where 

using the quadratic formula  and subsitute the value of 





There are two value of p; 125 and -27 

Now we find the value of x

Earlier we substitute  for  and  for 

When , 
When 

So the final answer is the two values of x; 

x = 5 OR x = -3

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