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Can absolute calue equations have one solution?
Yes, for example: | x | = 0 with the only solution: x = 0
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 0 a solution to x 0?
Only if O x=3
Is -2x equals 0 no solution or all real solutions?
If you have -2x = 0, to solve for x, divide each side by two. That results in x = -0/2, or x = 0. So there is only one solution.
Can a quadratic equation have only one real solution?
Yes. x2-4x+4=0 (x-2)(x-2)=0 x=2
Is 0 the solution for x -3?
3
What is 4x equals 5x?
The only solution to this is x=0.
Can 0 ever be the solution of an equation?
Yes, of course. In this sense, it is a number just like any number. In general, an equation can have zero, one, or several solutions; the solutions can be positive, negative, zero, fractional, irrational, or complex, depending on the equation. Here is an equation that has zero as its solution: x = 0 (this is only an equality if your replace "x" with 0). Here are less trivial examples: x + 1 = 1 (the only solution is x = 0) x2 - x = 0 (two solutions: 0, and 1)
What is one solution of X2 plus X-6 equals 0?
x2+x-6=0 * * * * * Perhaps the solution you are looking for is: x2 + x - 6 = (x - 2)(x + 3) = 0; whence, x = 2 or -3.
How do you know when an equation has only one solution?
when the variable is to the power one you will only have one answer....2 solutions when to the power 23 when cubed etc.note: when multiple answers it is possible for answers to repeat ex. x^2+4x+4 =0would 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).
How do you know when an equation has one solution?
when the variable is to the power one you will only have one answer....2 solutions when to the power 23 when cubed etc.note: when multiple answers it is possible for answers to repeat ex. x^2+4x+4 =0would 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).
Why do perfect square trinomials have only one solution?
The way we create a perfect square trinomial is by squaring something in the form of (x-a) where a is some real number. For example (x-2)2 is x2 -4x+4 which is a perfect square trinomial. Not, write this as (x-2)(x-2) instead of (x-2)2 . To find the solutions, we write (x-2)(x-2)=0 The only solution that will make the left side equal to zero is 2. So in general, if we have a perfect square trinomial with the unknown as x, think of it as (x-a)2 or as (x-a)(x-a), then if we set this to 0, the one and only solution is x=a
