Final answer to the problem
Step-by-step Solution
Specify the solving method
Find the roots of the polynomial $\frac{x^2-x+1}{\left(x^2-1\right)\left(x-1\right)^3}$ by putting it in the form of an equation and then set it equal to zero
Learn how to solve problems step by step online.
$\frac{x^2-x+1}{\left(x^2-1\right)\left(x-1\right)^3}=0$
Learn how to solve problems step by step online. Find the roots of (x^2-x+1)/((x^2-1)(x-1)^3). Find the roots of the polynomial \frac{x^2-x+1}{\left(x^2-1\right)\left(x-1\right)^3} by putting it in the form of an equation and then set it equal to zero. Multiply both sides of the equation by \left(x^2-1\right)\left(x-1\right)^3. To find the roots of a polynomial of the form ax^2+bx+c we use the quadratic formula, where in this case a=1, b=-1 and c=1. Then substitute the values of the coefficients of the equation in the quadratic formula: \displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}. Simplifying.