Question

m^4-4m^3+8m^2-8m+4=0​

Answer 1

Answer:

m ≓ -0.850270271

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

((((m4)-(4•(m3)))-23m2)-8m)-4 = 0

Step  2  :

Equation at the end of step  2  :

((((m4) - 22m3) - 23m2) - 8m) - 4 = 0

Step  3  :

Polynomial Roots Calculator :

 3.1    Find roots (zeroes) of :       F(m) = m4-4m3-8m2-8m-4

Polynomial Roots Calculator is a set of methods aimed at finding values of  m  for which   F(m)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  m  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  1  and the Trailing Constant is  -4. 

 The factor(s) are: 

of the Leading Coefficient :  1

 of the Trailing Constant :  1 ,2 ,4 

 Let us test ....

  P  Q  P/Q  F(P/Q)   Divisor     -1     1      -1.00      1.00        -2     1      -2.00      28.00        -4     1      -4.00      412.00        1     1      1.00      -23.00        2     1      2.00      -68.00        4     1      4.00      -164.00   

Polynomial Roots Calculator found no rational roots

Equation at the end of step  3  :

m4 - 4m3 - 8m2 - 8m - 4 = 0

Step  4  :

Quartic Equations :

 4.1     Solve   m4-4m3-8m2-8m-4 = 0

Answer 2

a+b+c whole square formula