Question

Let f(x)=x^2+5x-36. Enter the x-intercepts of the quadratic function in the boxes. __and __

please show the work and answer

Answer 1

x=(4,0) and x=(9,0)

hope this helps

Answer 2

x = - 9, x = 4

Explanation:

The x- intercepts are the values of x where the graph of the function crosses the x- axis.

To obtain them set f(x) = 0, that is

x² + 5x - 36 = 0

To factor the quadratic.

Consider the factors of the constant term (- 36) which sum to give the coefficient of the x- term (+ 5)

The factors are + 9 and - 4, since

9 × - 4 = - 36 and 9 - 4 = + 5, thus

(x + 9)(x - 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 9 = 0 ⇒ x = - 9

x - 4 = 0 ⇒ x = 4