What are the x-intercepts of the graph of the function f(x) = x2 + 5x − 36?

The x-intercept of a function is the value of x when y or f(x) is zero. It is like asking what are the roots of the given equation. Calculation is as follows:

0 = x^2 + 5x − 36

To solve this, we need to complete the square.

36 = x^2 + 5x
36 + 25/4 = x^2 + 5x + 25/4
169/4 = (x + 5/2)^2
√169/4 = √(x + 5/2)^2
√169/4 = x + 5/2
x1 = 13/2 - 5/2 = 4
x2 = -13/2-5/2 = -9