Question

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.

Answer 1

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

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)