The answer will depend on the equation.
Whether or not that there is a solution to a quadratic equation,
An equation can be determine to have no solution or infinitely many solutions by using the square rule.
When you put the number in place of the variable (like maybe the 'x' or the 'y') wherever the variable occurs in the equation, and the statement you get out of all the numbers you have is not true, then you know the number is not a solution.
not always but most of the time yes
Substitute the number in the equation. If the resulting statement is true the number is a solution to the equation.
An equation can lead to a solution.
The answer will depend on the equation.
Substitute the value found back into the equation, evaluate the expressions and see if the resulting equation is true.
The solution set is the answers that make an equation true. So I would call it the solution.
The number of solutions an equation has depends on the nature of the equation. A linear equation typically has one solution, a quadratic equation can have two solutions, and a cubic equation can have three solutions. However, equations can also have no solution or an infinite number of solutions depending on the specific values and relationships within the equation. It is important to analyze the equation and its characteristics to determine the number of solutions accurately.
Any number that makes an equation true is a 'solution of an equation'. it is a solution
Whether or not that there is a solution to a quadratic equation,
A number that makes an equation true is its solution.
Solution. A solution of an equation is a number that satisfy the equation. This means that if you replace this number on the equation and check it, the equation will be true. When you solve an equation you can find some roots, but not all of them satisfy the equation. Thus always check your answers after resolving your equation, and eliminate as solution the answers that don't make the equation true or undefined.
An equation can be determine to have no solution or infinitely many solutions by using the square rule.
An algebraic equation or inequality can have a solution, an algebraic expression cannot. If substituting a number in place of a variable results in the equation or inequality being a true statement, then that number is a solution of the equation or inequality.