Count the number of many times the graph intersects the x-axis. Each crossing point is a root of the equation.
Graph of an equation.
The graph of an equation represents the solution set of the equation, that is all the solutions of the equation are points that lie on the graph and all the points that lie on the graph are solutions of the equation.
The coordinates of every point on the graph, and no other points, are solutions of the equation.
If it is a straight line, then the equation is linear.
The X-Intercepts are the solutions. If you have an algebra calculator, you can usually find them by going to CALC>Zero>enter the left and right boundaries for each side.
The real solutions are the points at which the graph of the function crosses the x-axis. If the graph never crosses the x-axis, then the solutions are imaginary.
A single equation in two variables is, for example. Its graph is a line, and every point on the line is a solution.
There are an infinite number of equations that meet that requirement. One of them is y = x
It represents all solutions to the linear equation.
When you graph the quadratic equation, you have three possibilities... 1. The graph touches x-axis once. Then that quadratic equation only has one solution and you find it by finding the x-intercept. 2. The graph touches x-axis twice. Then that quadratic equation has two solutions and you also find it by finding the x-intercept 3. The graph doesn't touch the x-axis at all. Then that quadratic equation has no solutions. If you really want to find the solutions, you'll have to go to imaginary solutions, where the solutions include negative square roots.