### Can a quadratic equation have one solution?

## Can a quadratic equation have one solution?

If you get a positive number, the quadratic will have two unique solutions. If you get 0, the quadratic will have exactly one solution, a double root. If you get a negative number, the quadratic will have no real solutions, just two imaginary ones.

## What is a quadratic equation with 1 solution?

Solutions And The Quadratic Graph If the graph touches the x-axis at one point then we have one solution. If the graph does not intersect with the x-axis then the equation has no real solution.

**Do all quadratic equations have two solutions?**

If you answer two to both questions, then every quadratic has two solutions.

**How do you make a quadratic equation?**

In summary: If you know the vertex and a point on a parabola, use the “vertex-form”, y = a(x – h)2 + k, to write the equation of the parabola. If you know three points on the parabola, but not the vertex, use the form y = ax2 + bx + c to write the equation of the parabola.

### What if a quadratic equation has only one real solution?

Answer: If a quadratic equation has exactly one real number solution, then the value of its discriminant is always zero. A quadratic equation in variable x is of the form ax2 + bx + c = 0, where a ≠ 0. Explanation: For example, x2 + 2x + 1 = 0 has only one solution x = -1.

### How do you know if a quadratic equation has two solutions?

Solution:

- if the discriminant is positive , then the quadratic equation has two solutions.
- if the discriminant is equal , then the quadratic equation has one solution.
- if the discriminant is negative , then the quadratic equation has no solution.

**How do you find an equation given a solution?**

To solve for , you must first combine the ‘s on the right side of the equation. This will give you . Then, subtract and from both sides of the equation to get . Finally, divide both sides by to get the solution .

**How do you find a quadratic equation?**

A quadratic equation is written as #ax^2+bx+c# in its standard form. And the vertex can be found by using the formula #-b/(2a)#. For example, let’s suppose our problem is to find out vertex (x,y) of the quadratic equation #x^2+2x-3# . 1) Assess your a, b and c values. 2) Plug in your values into the formula #-b/(2a)#.

#### What are the steps to solve the quadratic function?

Now we can solve a Quadratic Equation in 5 steps: Step 1 Divide all terms by a (the coefficient of x 2). Step 2 Move the number term (c/a) to the right side of the equation. Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

#### What are the types of quadratic equations?

The quadratic equation can be written in three different forms: the standard form, vertex form, and the quadratic form. You can use either form to graph a quadratic equation; the process for graphing each is slightly different.

**What is the standard form of quadratic formula?**

By Nucreisha Langdon. The standard form of a quadratic equation is y = ax^2 + bx + c, where a, b, and c are coefficiencts and y and x are variables.

Can a quadratic equation have one solution? If you get a positive number, the quadratic will have two unique solutions. If you get 0, the quadratic will have exactly one solution, a double root. If you get a negative number, the quadratic will have no real solutions, just two imaginary ones. What is a quadratic…