Solution - Simplification or other simple results

Step  1  :

            x2
 Simplify   ——
            5 

Equation at the end of step  1  :

         x2            
  ((20 • ——) • x2) +  1
         5             

Step  2  :

Multiplying exponential expressions :

 2.1    x² multiplied by x² = x^{(2 + 2)} = x⁴

Equation at the end of step  2  :

  22x4 +  1

Step  3  :

Polynomial Roots Calculator :

 3.1    Find roots (zeroes) of :       F(x) = 4x⁴+1
Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  4  and the Trailing Constant is  1.

 The factor(s) are:

of the Leading Coefficient :  1,2 ,4
 of the Trailing Constant :  1

 Let us test ....

Polynomial Roots Calculator found no rational roots

Final result :

  4x4 + 1