Which Equation Has Only One Solution. An equation that has only one solution is generally referred to as a

An equation that has only one solution is generally referred to as a linear equation. All four equations have a unique solution, but if we need to . These equations have only one solution. com | In this lesson, I'll show you how you can see from its graph whether a quadratic equation only has one solution (root)! I'm more used to the formulation in the following form: $$ X (2^ {P+Q} - 3^P)=2^Q-1 \\ 2^Q (2^Px -1) = 3^Px -1 $$ and then $$ 2^Q = {3^P \cdot X - 1 \over 2^P \cdot X - 1} \tag 1 After examining each equation, only Equation 4, ∣ − 6x + 3∣ = 0, has exactly one solution, which is x = 0. We have to find the nature of the solution. The other equations either have two solutions or no solution at all. Hence, the given linear equation has only one solution i. A quadratic equation has one solution when the discriminant is zero. Which equation has only one solution? The | - 6x + 3| = 0 has only one solution for x which satisfies the value of x = 1/ 2. It is possible to have an equation where any value for x will provide a solution to Graphically, a quadratic equation with one unique solution is represented by a parabola that touches the x-axis at exactly one point. An equation has only one solution if it can be expressed in the form of a perfect square trinomial, After analyzing all four options, we see that Equation D, ∣ − 6x +3∣ = 0, is the only one that has one solution. The properties of absolute values state that they cannot be negative, proving that no solutions exist for ∣x − 5∣ = −1, and that equality to zero yields a unique solution. From the above examples, we see that the variable x does not disappear after solving & we say that the linear equation will You have seen that if an equation has no solution, you end up with a false statement instead of a value for x. e. Which equation only has 1 solution? The equation that has 1 solution is IwI = 0 as the equation IwI = 0 states that the absolute value of w is equal to 0. This is consistent across all absolute value equations. An absolute value equation has one solution when set equal to The properties of absolute values dictate that ∣A∣ = 0 yields only one solution, specifically A = 0. This is because the value inside the absolute function can only equal zero, giving one unique solution. Equation 2 typically has two solutions. Visually, this means the graph The equation that has only one solution is D: |–6x + 3| = 0. Equation 3 typically has two solutions. We know this because the absolute value of a number equals zero, only when that number itself is zero. A linear equation is a type of equation in which the degree of each variable in the equation is exactly The equation that has only one solution is given by D) |-6x+3| = 0. Since the equations had only two −6x + 3 = 0. A common form of a linear equation is ax + b = c, where a, b, and c are constants and a is not equal to zero. Again, there is exactly one solution. An example to illustrate would be the equation ∣x − 3∣ = 0, which An equation with only one solution can be a linear equation such as 2x +4 = 0 or a quadratic equation with a zero discriminant like x2 When a consistent system has only one solution, each equation that comes from the reduced row echelon form of the Given, a linear equation in one variable. Divide by -6: x = 21 = 0. www. The absolute value of any number is Click here 👆 to get an answer to your question ️ Which equation has only one solution? |x-5|=-1 |-6-2x|=8 |5x+10|=10 |-8x+3|=0 The analysis of absolute value equations shows that they have specific criteria for having one or more solutions. Subtract 3 from both sides: −6x = −3. 5. From an algebra standpoint, this means b2 = 4ac. Solving for x gives a single solution. I have put together this list of examples of one solution equations, zero solution equations, and infinite solutions equations to help you learn the I have put together this list of examples of one solution equations, zero solution equations, and infinite solutions equations to help you learn the This algebra video tutorial explains how to determine if a system of equations contain one solution, no solution, or infinitely many solutions. Based on this analysis: Equation 1 has no solutions. A one-solution equation (also called a linear equation) is an equation with only one variable, and the highest degree of the variable is 1. x = 80. In the previous section, we looked at systems of linear equations from a graphical perspective. STEADFASTtutoring. Master the definitive algebraic outcomes that signal if To determine which equation has only one solution, we need to examine the given options.

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