0
when the variable is to the power one you will only have one answer....
2 solutions when to the power 2
3 when cubed etc.
note: when multiple answers it is possible for answers to repeat ex. x^2+4x+4 =0
would factor to (x+2)(x+2)=0 so x=-2 and x=-2 there is only one answer but it repeats. [Note: the graph of this parabola will 'just touch' the x-axis at x = -2]
Also, it may seem that there is only one solution, for example x³ - 5x² + 8x - 6 = 0 looks like it only has one solution at x = 3 (as the graph of it will only cross the x-axis once at x = 3), but there are two more solutions which require the use of complex numbers, in this case namely x = 1 + i, and x = 1 - i (where i = √-1).
Add your answer:
Earn +20 pts
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.
Why do you isolate the variable on one side the the equation when solving a linear equation?
Isolating a single variable in terms of the rest of the equation provides a solution to that variable. That is, if you know the equation that equals the variable, then you can figure out its value.
What is the number that can replace a variable in an equation to make it a true equation?
The number that can replace a variable in an equation to make it a true equation is called the solution or root of the equation. This number satisfies the equation when substituted for the variable. In algebra, finding the solution involves solving for the variable by performing various operations to isolate it on one side of the equation. The solution is the value that balances both sides of the equation, making it true.
Why do we represent the solution to an inequality with a graph on a number line but we don't do the same for the solution to an equation?
An equation has an equal sign, which means that we know what the variable is equal to :)
If the discriminant of a quadratic equation equals zero what is true of the equation?
It has one real solution.
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)
How do you know if an equation is equivalent?
An equation is equivalent to another equation, if they have the same solution.
How do you know if a quadratic equation will have one two or no solutions How do you find a quadratic equation if you are only given the solution Is it possible to have different quadratic equation?
Draw the graph of the equation. the solution is/are the points where the line cuts the x(horisontal) axis .
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.
Does an equation has a solution?
Yes and sometimes it can have more than one solution.
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.
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
Why do you isolate the variable on one side the the equation when solving a linear equation?
Isolating a single variable in terms of the rest of the equation provides a solution to that variable. That is, if you know the equation that equals the variable, then you can figure out its value.
What is a solution of a linear equation called?
A solution of a linear equation is called a root or a solution. It is a value that satisfies the equation when substituted back into it.
Does the equation 7x-56x 3 have exactly one solution?
It has no solution because without an equality sign it is not an equation.
What is the number that can replace a variable in an equation to make it a true equation?
The number that can replace a variable in an equation to make it a true equation is called the solution or root of the equation. This number satisfies the equation when substituted for the variable. In algebra, finding the solution involves solving for the variable by performing various operations to isolate it on one side of the equation. The solution is the value that balances both sides of the equation, making it true.
