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An equation can be determine to have no solution or infinitely many solutions by using the square rule.

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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: Explain how to identify whether an equation has no solution or infinitely many solutions?
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Related questions

What does it mean if an equation equals 0 does it have one solution no solution or indefinitely many solutions?

It has infinitely many solutions.


How many solutions does linear equation in two variable have?

A single linear equation in two variables has infinitely many solutions. Two linear equations in two variables will usually have a single solution - but it is also possible that they have no solution, or infinitely many solutions.


What is the solution of 4y minus x equals 10?

The equation has infinitely many solutions.


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.


When you solve equation describe how you know when there will be a infinite solutions?

If the solution contains one variable which has not been fixed then there are infinitely many solution.


What must be true about the lines of a system of equation that has not one solution but infinitely many solutions?

There must be fewer independent equation than there are variables. An equation in not independent if it is a linear combination of the others.


How do you know when an equations has infinitly many solutions?

An equation must have 1, 0, or infinitely many solutions. So if you find 1 and there is another, you have know it has infinitely many. For example. 0x+2=2 I solve this and the equations become 0x=0 Now, 1 is a solutions, but so is 2. I now know there are infinitely many. How about 0x+2=3. No solution and 2x+2=4, has one solution. I put those two here so you might try other numbers and see that they have no solutions and one solution. A special type of equation known as an identity is an equation that holds for all numbers. This means it has infinitely many solutions.


What does it mean to be a solution of an equation?

the solution is the answer to the equation. A solution is any value that makes the equation true. x + 2 = 10 has exactly one solution ....x=8 x + 2 > 10 has infinitely many solutions....x=9 or 10 or 11 or 12 or 13, etc


How many solutions will a system have if the graph of the solution is not parallel lines?

infinitely many solutions :)


Is x1 a solution or an infinitely many solutions?

Assuming you mean x=1, then it is a solution.


How can you tell when an equation in one variable has infinitely many solutions or no solutions?

There is no simple method. The answer depends partly on the variable's domain. For example, 2x = 3 has no solution is x must be an integer, or y^2 = -9 has no solution if y must be a real number but if it can be a complex number, it has 2 solutions.


What is solution to an equation?

Solutions of an equation are the set of values which satisfy it.


How do you answer if an equation has no solution?

Simply write that "no solutions are available for <equation>".


Does an equation has a solution?

Yes and sometimes it can have more than one solution.


How many solutions does the equation have?

how many solutions does the equation have? 4x+1=5+2(2-4) a. one solution b. infinite solutions c. no solution


What does consistent mean in algebra?

consistent means that it either has a unique solution or infinitely many solutions. But not No solutions.


3 plus 6x equals 11-4y?

You'll need another equation to solve this one. The equation you give has a graph that is a line. Every point on the line is a solution to the equation so there are infinitely many solutions.


Do all rational equations have one solution?

No. They can just as well have zero solutions, several solutions, or even infinitely many solutions.


Why a system of linear equations cannot have exactly two solutions?

A system of linear equations can only have: no solution, one solution, or infinitely many solutions.


When will an equation have no solution?

If the discriminant of a quadratic equation is less than zero then it has no solutions.


Why is the solution to an equation not always the answer to a question?

identify the property and equation that satisfies the following statement: the solution of an equation is x=-2.


How many solutions are there to a linear inequality?

Infinitely many. The solution space is part of a plane.


Why does an inequality have 2 solutions?

An inequality, like an equation, can have a different number of solutions depending on the inequality and the domain.For example, x2< 0 has no solutions if the domain is the real numbers.x< 5 has only one solution ( = 4) if the domain consists of the squares of positive even numbers.x < 5 has infinitely many solutions if the domain is the rational numbers or real numbers.An inequality, like an equation, can have a different number of solutions depending on the inequality and the domain.For example, x2< 0 has no solutions if the domain is the real numbers.x< 5 has only one solution ( = 4) if the domain consists of the squares of positive even numbers.x < 5 has infinitely many solutions if the domain is the rational numbers or real numbers.An inequality, like an equation, can have a different number of solutions depending on the inequality and the domain.For example, x2< 0 has no solutions if the domain is the real numbers.x< 5 has only one solution ( = 4) if the domain consists of the squares of positive even numbers.x < 5 has infinitely many solutions if the domain is the rational numbers or real numbers.An inequality, like an equation, can have a different number of solutions depending on the inequality and the domain.For example, x2< 0 has no solutions if the domain is the real numbers.x< 5 has only one solution ( = 4) if the domain consists of the squares of positive even numbers.x < 5 has infinitely many solutions if the domain is the rational numbers or real numbers.


How do you when an equation has infinitely many solutions?

You may be able to give a formula that represents all the solutions. For example, the equation sin(x) = 0 where x is real, has infinitely many solutions but they can be summarised, very simply, as x = n*pi radians (180*n degrees) where n is any integer. Some solution sets are harder to summarise.You may be able to give a formula that represents all the solutions. For example, the equation sin(x) = 0 where x is real, has infinitely many solutions but they can be summarised, very simply, as x = n*pi radians (180*n degrees) where n is any integer. Some solution sets are harder to summarise.You may be able to give a formula that represents all the solutions. For example, the equation sin(x) = 0 where x is real, has infinitely many solutions but they can be summarised, very simply, as x = n*pi radians (180*n degrees) where n is any integer. Some solution sets are harder to summarise.You may be able to give a formula that represents all the solutions. For example, the equation sin(x) = 0 where x is real, has infinitely many solutions but they can be summarised, very simply, as x = n*pi radians (180*n degrees) where n is any integer. Some solution sets are harder to summarise.


What are three examples of solutions?

There is the solution to a puzzle. There is a chemical solution There is an alloy There is a solution to an equation There is a solution to a problem