This equation has no "nice" roots. You might want to use a numerical approximation or have a look into http://en.wikipedia.org/wiki/Quartic_equation#Solving_a_quartic_equation".ryan.1015 said:
ryan.1015 said:
Roots in an equation are the values that satisfy the equation when substituted into it. In other words, they are the solutions to the equation.
To find the roots of an equation, you can use algebraic methods such as factoring, completing the square, or using the quadratic formula. You can also use graphical methods, such as plotting the equation on a graph and finding the points where it intersects the x-axis.
Yes, an equation can have multiple roots. This is especially true for higher degree equations, such as cubic or quartic equations.
An equation with no real roots means that there are no values that satisfy the equation when substituted into it. This can happen when the equation has complex solutions or when it has no solutions at all.
To check if a value is a root of an equation, you can substitute it into the equation and see if it satisfies the equation. If the resulting expression is equal to zero, then the value is a root of the equation. Additionally, you can use the remainder theorem or synthetic division to check if a value is a root of a polynomial equation.