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No, not at all!
Here are a few examples. I try to keep them simple, to get the point across, but more complicated examples are also possible.
x = 5: If x = 5, the equation is true, else it is false. Exactly one solution.
x = x + 1: Whatever value you put for "x", the right side will be one more than the left side. Zero solutions.
(x-1)(x-2) = 0: When any of the factors is zero, the product is zero. Therefore, x can be 1 or 2. Two solutions.
x(x+2)(x-5)(x-10) = 0: Similar as the previous example, but x can be 0, -2, 5, 10. Four solutions.
x = x: Any value you put for "x", the equation will be true. Infinite solutions - the entire set of real numbers.
sin x = 0: The sine is a periodic function; it has the value 0 for x = 0, pi, 2 x pi, 3 x pi, etc. (this is in radians; equivalent to 0 degrees; 180 degrees; 360 degrees; etc.). Infinite solutions, but only specific points.
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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.
What does an equation always include?
included would be the solution...
Is the solution to an equation any number that makes the equation true?
not always but most of the time yes
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
Is x equals 1 a solution of the equation 2 - 8x?
No. That is because 2 - 8x is an algebraic expression, not an equation. And since it is not an equation, it does not have a solution.
What is an equation that has no solution called?
An equation that has no solution is called an equation that has no solution.
Does a multi-step equation always sometimes or never have a solution?
Does a multi-step equation sometimes, always, or never have a solution?
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.
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.)
Do equation always sometimes or never has one solution?
an equation ---------- has a soultion? a)always B)sometimes C)never
What does an equation always include?
included would be the solution...
Is the solution to an equation any number that makes the equation true?
not always but most of the time yes
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
An example of an equation and its solution?
1+1=2
Is x equals 1 a solution of the equation 2 - 8x?
No. That is because 2 - 8x is an algebraic expression, not an equation. And since it is not an equation, it does not have a solution.
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.
Does an equation has a solution?
Yes and sometimes it can have more than one solution.
