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an extraneous solution.
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What is the word for a number that makes an equation true?
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.
The solution to x equals -8?
x = -8 already is a solution. If an equation has been changed until the value of x is found, and this value is accurate to the original equation, then the equation has been solved.
What is the solution to a linear equation?
The solution to a system on linear equations in nunknown variables are ordered n-tuples such that their values satisfy each of the equations in the system. There need not be a solution or there can be more than one solutions.
When we plot all the points that satisfy an equation or inequality what do we do?
We identify a set of points in the relevant space which are part of the solution set of the equation or inequality. The space may have any number of dimensions, the solution set may be contiguous or in discrete "blobs".
What are some steps after coming up with a solution?
If you mean for a math problem, after coming up with a solution you should usually check the solution in the original equation, to be safe.
What solution is a trial solution that takes not satisfy the original equation?
It is a trial solution, as mentioned in the question!
How do you know if a value a is a solution to an equation?
If this value a satisfy the equation, then a is a solution for that equation. ( or we can say that for the value a the equation is true)
Why is it possible to check the solution to any equation?
If you found the value of x that is a solution to an equation, you want to substitute that value back into the original equation, to check that it indeed satisfies the equation. If it does not satisfy the equation, then you made an error in your calculations, and you need to rework the problem.
What is a solution of an eqaution derived from an original equation that is not a solution of the original equation?
Extraneous solution
How do you get a solution set?
The solution set for a given equation is the set of all points such that their coordinates satisfy the equation.
What is the word for a number that makes an equation true?
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.
What do you call the solution of a equation derived from an original equation that is not a solution of the original equation?
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.
How do you check the solution to an equation?
plug your solution back into the original equation and work it out again
Does the point (7 0) satisfy the equation y x?
Is (7, 9) a solution to the equation y = x?
What do you call the set of solutions that satisfy a given equation?
That's called the "solution set".
What does solve the equation mean?
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.
What does one solution in algebra mean?
In algebra, one solution means that there is only one real value x that will satisfy its equation.
