What is an example of 1 solution?

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution. For example, 2x+3=8 is a linear equation having a single variable in it. Therefore, this equation has only one solution, which is x = 5/2.

What is a quadratic equation with 1 solution?

A quadratic equation has one solution when the discriminant is zero. From an algebra standpoint, this means b2 = 4ac. Visually, this means the graph of the quadratic (a parabola) will have its vertex resting on the x-axis.

Which linear equation has exactly one solution?

If a system has at least one solution, it is said to be consistent . If a consistent system has exactly one solution, it is independent . If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line.

Could there be a quadratic function with only 1 root?

If the vertex of the equation has a y-coordinate of 0, then the equation has only one root. If the value of k is zero, then the equation has one root. I will show you the first equation. Since the vertex is (3/2, 0), this equation has only one root.

How do you know if the equation is quadratic or not?

In other words, if you have a times the square of the expression following b plus b times that same expression not squared plus c equal to 0, you have an equation that is quadratic in form.

What is an example of no solution?

The last type of equation is known as a contradiction, which is also known as a No Solution Equation. This type of equation is never true, no matter what we replace the variable with. As an example, consider 3x + 5 = 3x – 5. This equation has no solution.

What is a system with one solution called?

A linear system that has exactly one solution is called a consistent independent system. Consistent means that the lines intersect and independent means that the lines are distinct.

How do you write a quadratic equation with one solution?

The solution of a quadratic equation ax2 + bx + c = 0 is given by the quadratic formula x = [-b ± √(b2 – 4ac)] / 2a, to find the solution of a quadratic equation. In the case of one real solution, the value of discriminant b2 – 4ac is zero. For example, x2 + 2x + 1 = 0 has only one solution x = -1.