How Do You Solve a Quadratic Equation with Two Solutions by Graphing?

How Do You Solve a Quadratic Equation with Two Solutions by Graphing?

Note:

One of the many ways you can solve a quadratic equation is by graphing it and seeing where it crosses the x-axis. Follow along as this tutorial shows you how to graph a quadratic equation to find the solution. Check it out!

Keywords:

problem

skill

solve by graphing

graph

quadratic function

zeros

equation

parabola

axis of symmetry

Background Tutorials

Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

The axis of symmetry is the vertical line that goes through the vertex of a quadratic equation. There's even a formula to help find it! In this tutorial, you'll see how to find the axis of symmetry for a given quadratic equation.

The vertex of a quadratic equation is the minimum or maximum point of the equation. Did you know that you can use the formula for the axis of symmetry to help find the vertex of a quadratic equation? Watch this tutorial and see how it's done!

Graph linear and quadratic functions and show intercepts, maxima, and minima.

The zeros of a quadratic equation are the points where the graph of the quadratic equation crosses the x-axis. In this tutorial, you'll see how to use the graph of a quadratic equation to find the zeros of the equation. Take a look!

Further Exploration

Factor a quadratic expression to reveal the zeros of the function it defines.

One of the many ways you can solve a quadratic equation is by factoring it. In this tutorial, you'll see how to factor a quadratic equation using the guess and check method of factoring. Then, use the zero product property to find the solution!