Solve Algebra 2 Oddysey

Question

asked May 6, 2021 222k views

2 Answers

Ymv · Answer 1 · 2021-05-06T17:46:15+0000

Answer:

{ - 2, 4 }

Explanation:

Given

(x+4)/(4) =
(x)/(x-2) ( cross- multiply )

(x + 4)(x - 2) = 4x ← expand the left side using FOIL

x² - 2x + 4x - 8 = 4x

x² + 2x - 8 = 4x ( subtract 4x from both sides )

x² - 2x - 8 = 0 ← in standard form

(x - 4)(x + 2) = 0 ← in factored form

Equate each factor to zero and splve for x

x - 4 = 0 ⇒ x = 4

x + 2 = 0 ⇒ x = - 2

Solution is { - 2, 4 }