Find the x-intercepts of y = 4x2 - 15x - 4

Question

answer options

4 and 1/4
-21 and 10
-1/4 and 4
No x-intercepts exist.

Answer 1

To find the x-intercepts, let y = 0 and solve for x.

4x² - 15x - 4 = 0

(4x + 1)(x - 4) = 0

4x + 1 = 0       or      x - 4 = 0

      4x = -1                    x = 4

        x = -1/4