Solve each equation by graphing the related function. If the equation has no real-number solution. Write no solution.

Question

5z^2-45=0

Answer 1

To solve the equation 5z^2 - 45 = 0 by graphing the related function, we first need to rewrite the equation in standard form:

5z^2 = 45
z^2 = 9
z = ±3

So, the solutions to the equation are z = 3 and z = -3.

By graphing the related function f(z) = 5z^2 - 45, we can see that the graph intersects the x-axis at z = 3 and z = -3, which are the solutions to the equation.

Therefore, the solutions to the equation 5z^2 - 45 = 0 are z = 3 and z = -3.