Solve each equation by graphing the related function. If the equation has no real-number solution. Write no solution.
x^2-9=0
To solve the equation x^2 - 9 = 0 by graphing the related function, we first rewrite the equation in the form y = x^2 - 9. We then graph the function y = x^2 - 9 and find the x-values where the graph intersects the x-axis (y = 0).
The graph of y = x^2 - 9 is a parabola opening upwards with vertex at (0, -9) and x-intercepts at (-3, 0) and (3, 0). Therefore, the solutions to the equation x^2 - 9 = 0 are x = -3 and x = 3.
Thus, the solutions to the equation x^2 - 9 = 0 are x = -3 and x = 3.