That's an extraneous solution. You need to check for these when algebraically solving equations, especially when you take both sides of an equation to a power.
You simply call it "no solution".
You just write, "No Solution."
A set would not normally have a solution. An equation or an inequality might.
You can call it a "number." To distinguish it from a variable expression, you can also call it a "constant."
That's called the "solution set".
You simply call it "no solution".
You just write, "No Solution."
You could call it "the answer" or "the solution".
You call that a "solution" of the equation.
The Solution of an equation is the value of the variable that makes the equation truean answer
Single answer. Coincidental (same equation), No solution.
A set would not normally have a solution. An equation or an inequality might.
The solution set is the answers that make an equation true. So I would call it the solution.
You can call it a "number." To distinguish it from a variable expression, you can also call it a "constant."
That's called the "solution set".
The number that replaces a variable is the solution to the equation. great question, but it's only the answer.??
An inconsistent equation (or system of equations) is one that has no possible solutions. That is precisely why we call it inconsistent; there is no solution set that can be substituted for its variable or variables that will make the equation (or system) true.