Solve each equation by graphing the related function. If the equation has no real-number solution. Write no solution.
144-p^2=0
To solve the equation 144 - p^2 = 0 by graphing the related function, we first rewrite the equation in the form of a function:
f(p) = 144 - p^2
Next, we graph the function f(p) = 144 - p^2.
The graph of the function is a downward-opening parabola with vertex at (0,144) and x-intercepts at p = -12 and p = 12.
The solution to the equation is the x-intercepts of the graph, which are p = -12 and p = 12.
Therefore, the solutions to the equation 144 - p^2 = 0 are p = -12 and p = 12.
Graph of the function f(p) = 144 - p^2:
p
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