solve x^4 - 5x^3 +7x^2- 5x +1=0 ?
Answers
Answer: x ≓ 0.301521301
Step-by-step explanation:
x^4-5x^3+7x^2-5x+1=0
One solution was found :
x ≓ 0.301521301
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 2 more similar replacement(s).
Step by step solution :
Step 1 :
Equation at the end of step 1 :
((((x4)-(5•(x3)))+7x2)-5x)+1 = 0
Step 2 :
Equation at the end of step 2 :
((((x4) - 5x3) + 7x2) - 5x) + 1 = 0
Step 3 :
Polynomial Roots Calculator :
3.1 Find roots (zeroes) of : F(x) = x4-5x3+7x2-5x+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 1 and the Trailing Constant is 1.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 19.00
1 1 1.00 -1.00