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How can one tell when a math problem has no solution?
Depends on the type of math problem. there's usually an equation to see if there is a solution or not.
Does an equation has a solution?
Yes and sometimes it can have more than one solution.
What does solution set mean in math terms?
It means a listing of every solution to an equation. Example 1: 3x + 1 = 10. Solution set: x is an element of the set {3}. That means there is just one solution. If you replace "x" in the original equation with "3", you get a true statement; if you replace it with anything else, you don't. Example 2: x2 = 25. Solution set: x is an element of the set {5, -5}.
Will you answer my math question -3 is a solution of y equals 4 - 3x?
You have one equation in two unknowns. There is no solution possible without a second (independent) equation in the same two unknowns.
What is the definition of solution of equation?
An algebraic equation has (at least one) variable, usually called x. To solve the equation means to figure out the value of x. For example, in the equation x + 4 = 7 the solution is x = 3, because 3 + 4 = 7.
How can one tell when a math problem has no solution?
Depends on the type of math problem. there's usually an equation to see if there is a solution or not.
What does one solution mean in math?
An equation may have zero, one, or more solutions (this is also true for a system of equations). The equation 2 + x = 5 has only solution, for example. x can only equal 3, so there is one solution. (An example of an equation with more that one solution is x2 = 4. In this case x can equal 2 or -2, so this equation has two solutions. An example of an equation with an infinite number of solutions is x + 6 = 3*2 + x. x can equal any number to make this equation true, so it has an infinite number of solutions. The equation x = x + 1 is an example of an equation with no solutions.)
Does an equation has a solution?
Yes and sometimes it can have more than one solution.
What does solution set mean in math terms?
It means a listing of every solution to an equation. Example 1: 3x + 1 = 10. Solution set: x is an element of the set {3}. That means there is just one solution. If you replace "x" in the original equation with "3", you get a true statement; if you replace it with anything else, you don't. Example 2: x2 = 25. Solution set: x is an element of the set {5, -5}.
Will you answer my math question -3 is a solution of y equals 4 - 3x?
You have one equation in two unknowns. There is no solution possible without a second (independent) equation in the same two unknowns.
When you square each side of an equation is the resulting equation equivalent to the original?
No. The resulting equation has more solutions. For example, x = 2 has only one solution and that is x = 2.butx2= 4, the squared equation, has two solutions: x = +2 and x = -2No. The resulting equation has more solutions. For example, x = 2 has only one solution and that is x = 2.butx2= 4, the squared equation, has two solutions: x = +2 and x = -2No. The resulting equation has more solutions. For example, x = 2 has only one solution and that is x = 2.butx2= 4, the squared equation, has two solutions: x = +2 and x = -2No. The resulting equation has more solutions. For example, x = 2 has only one solution and that is x = 2.butx2= 4, the squared equation, has two solutions: x = +2 and x = -2
What does no solution mean in algebra?
An equation can have zero solutions, one solution, two solutions, or many solutions. A solution is any number that, when replaced into the equation, will give an equality. An example of an equation without a solution is x = x + 1. No matter what number you use for "x", the right part will always be one more than the left part. Therefore, the equation has no solution. (Also, if you subtract "x" from each side, you get the equation 0 = 1, which is obviously false.)
What is the definition of solution of equation?
An algebraic equation has (at least one) variable, usually called x. To solve the equation means to figure out the value of x. For example, in the equation x + 4 = 7 the solution is x = 3, because 3 + 4 = 7.
What is A number that makes a equation true?
The solution set is the answers that make an equation true. So I would call it the solution.
What happens if you are checking a solution for the radical expression and find that it makes one of the denominators in the expression equal to zero?
Then it is not a solution of the original equation. It is quite common, when solving equations involving radicals, or even when solving equations with fractions, that "extraneous" solutions are added in the converted equation - additional solutions that are not solutions of the original equation. For example, when you multiply both sides of an equation by a factor (x-1), this is valid EXCEPT for the case that x = 1. Therefore, in this example, if x = 1 is a solution of the transformed equation, it may not be a solution to the original equation.
An equation has one solution?
A linear equation in one variable has one solution. An equation of another kind may have none, one, or more - including infinitely many - solutions.
Does an equation always have one solution?
Only a linear equation in one variable x , which is an equation of the form ax + b = 0, (where a is different than 0), has only one solution. The solution is: x = -b/a
