"Find all real solutions" means to determine all possible values of a variable or set of variables that make an equation or system of equations true.
Finding all real solutions is important because it ensures that we have a complete understanding of the problem at hand and can accurately solve for the unknown variables.
To find all real solutions, we need to manipulate the given equations or system of equations using algebraic techniques such as substitution, elimination, or graphing. This allows us to isolate the variable(s) and solve for their value(s).
Yes, there can be multiple sets of real solutions for a given equation or system of equations. This can happen when the equations have multiple variables or when the equations are non-linear.
Real solutions are values of the variable(s) that make the equation or system of equations true and are represented by real numbers. Imaginary solutions, on the other hand, are values of the variable(s) that do not make the equation true and are often represented by the imaginary unit, i, in the form of a complex number.