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