Given:
Given the graph of some quadratic equations
Required: Number of real solutions of each quadratic equation.
Explanation:
The solutions of a quadratic equation are the x-values that crosses the x- axis.
So, the number of real solutions of a quadratic equation is the number of times the curve crosses the x-axis.
On the first graph, the graph cuts the x-axis at two places. Hence, it has two real solutions.
On the second graph, the graph cuts the x-axis at two places. Hence, it has two real solutions.
On the third graph, the graph cuts the x-axis at only one place. Hence, it has only one real solution.
On the fourth graph, the graph not cut the x-axis anywhere. Hence, it has no real solution.
Final Answer: First graph - Two real solution
Second graph - Two real solution
Third graph - One real solution
Fourth graph - No real solution
