It is an equation which is insoluble in its domain. However, it may be soluble in a bigger domain.
For example, x2 = 2 has no solution in the domain of rational numbers but it does in the real numbers, or
x2 = -2 has no solution in the domain of real number but it does in imaginary numbers.
Find values for the variable that satisfy the equation, that is if you replace those values for the variable into the original equation, the equation becomes a true statement.
The goal is to find what value or values the variable may have, to make the equation true.
An identity is a special type of literal equation. It is true for all values of the variable.
No equation can have that property. It cannot be an equation if it is not true. If necessary, the domain must be amended. An equation can have different forms over different parts of its domain.
linear equation in one variable
Find values for the variable that satisfy the equation, that is if you replace those values for the variable into the original equation, the equation becomes a true statement.
They are called the "solutions" of the equation.
When an equation has a variable in it (only one), then there are only certainvalues the variable can have that will make the equation a true statement."Solving" the equation means finding those values for the variable.
The goal is to find what value or values the variable may have, to make the equation true.
You substitute the value of the variable into the equation and simplify. If the rsult is a true statement then that value of the variable really does satisfy the equation.
Identity.
It is finding the values of the variable that make the quadratic equation true.
The solution to an equation consists of the value (or values) of all the variables such that the equation is true when the variable(s) take those values.
"Solve an equation" means "find out, for which values of the variable or variables is the equation true".
An identity is a special type of literal equation. It is true for all values of the variable.
It is, in fact, an identity - which is an equation which is true for all values of the variable.
No equation can have that property. It cannot be an equation if it is not true. If necessary, the domain must be amended. An equation can have different forms over different parts of its domain.