Solve each equation by graphing the related function. If the equation has no real-number solution, write no solution. 3X^2=0
To graph the related function, we can rewrite the equation as y = 3x^2.
Let's plot the graph:
For x = -2, y = 12
For x = -1, y = 3
For x = 0, y = 0
For x = 1, y = 3
For x = 2, y = 12
The graph of y = 3x^2 is a U-shaped curve that opens upward. It intersects the x-axis at the point (0,0).
Now, let's solve the equation 3x^2 = 0.
Since the equation 3x^2 = 0 represents the points where y = 0, we can see from the graph that the only solution is x = 0, (0,0).
Therefore, the solution to the equation 3x^2 = 0 is x = 0.