Find the x-intercepts for the parabola defined

by this equation:

y=2x² + 2x - 4

Write your answer as two ordered pairs:

(x1.71). (x2, y2)

Separate the values with a comma. Round, if

necessary, to the nearest hundredth.

( - 2, 0), (1, 0)

Step-by-step explanation:

Given

y = 2x² + 2x - 4

To find the x - intercepts let y = 0, that is

2x² + 2x - 4 = 0 ← divide through by 2

x² + x - 2 = 0 ← in standard form

(x + 2) (x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 1 = 0 ⇒ x = 1

Thus x - intercepts are ( - 2, 0) and (1, 0)