quadratic equations by graphing
The idea is to graph the function
f(x)=ax^2 + bx + c, and where it crosses the x axis (y=0) are the real roots.
To solve quadratic equations by graphing, follow these steps:
Step 1: Write the equation in the form f(x) = ax^2 + bx + c, where a, b, and c are coefficients representing numbers.
Step 2: Graph the function f(x) = ax^2 + bx + c on a coordinate plane. Make sure to choose an appropriate scale for the x and y axes.
Step 3: Determine the x-intercepts or the points at which the graph crosses the x-axis. These points represent the real roots of the quadratic equation.
Step 4: Read the x-coordinate values of the x-intercepts. These values are the solutions to the quadratic equation.
Note: If the graph does not intersect or touch the x-axis, it means that the quadratic equation has no real solutions.