What Is A Problem With No Solution?

How do you tell if a graph has no solution?

When you graph the equations, both equations represent the same line.

If a system has no solution, it is said to be inconsistent .

The graphs of the lines do not intersect, so the graphs are parallel and there is no solution..

Does 0 0 mean all real numbers?

Please make sure that you understand that “zero” itself is not “nothing”. Zero is a numerical value which (in “real life” or in the context of a word problem) might imply that there is “nothing” of something or other, but zero itself is a real thing; it exists; it is “something”.

Is 0 0 infinite or no solution?

For an answer to have an infinite solution, the two equations when you solve will equal 0=0 . … If you solve this your answer would be 0=0 this means the problem has an infinite number of solutions. For an answer to have no solution both answers would not equal each other.

How do you know if a problem has no solution?

Summary. If the equation ends with a false statement (ex: 0=3) then you know that there’s no solution. If the equation ends with a true statement (ex: 2=2) then you know that there’s infinitely many solutions or all real numbers.

What does it mean if a system has no solution?

A system of linear equations has no solution when the graphs are parallel. Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.

Why do we equate equations to zero?

Essentially, the zero is stating where the equation intersects with the x axis, because when y = 0, the the equation is on the x axis. Also, it makes it really convenient for equations like y=8×2−16x−8 because when finding the root (or solution) (or value of x when = 0), we can divide out the 8.

Why do we solve quadratic equations?

The equation is used to find shapes, circles, ellipses, parabolas, and more. … It also used to design any object that has curves and any specific curved shape needed for a project. The military uses the quadratic equation when they want to predict where artillery shells hit the earth or target when fired from cannons.

How do you equate to zero?

The Principle of Zero Products states that if ab = 0, then either a = 0 or b = 0, or both a and b are 0. Once the polynomial is factored, set each factor equal to zero and solve them separately.

What does no solution look like?

Sometimes we use the symbol Ø to represent no solutions. That symbol means “empty set” which means that the set of all answers is empty. In other words, there is no answer. So if we want to use Ø to represent no solution, we may.

How do you tell if a quadratic has no solution?

If the discriminant is less than 0, the equation has no real solution. Looking at the graph of a quadratic equation, if the parabola does not cross or intersect the x-axis, then the equation has no real solution. And no real solution does not mean that there is no solution, but that the solutions are not real numbers.

What is a problem with no solution called?

A set of equations with no solutions is called inconsistent if there is no simultaneous solution for the set.

What happens when an equation is 0 0?

1 Expert Answer If the elimination produces the equation 0=0, then the two equations are for the same line. This means that there are an infinite number of solutions.