Question

Solve the inequality
(x^2 −x−2)/( x^2 −3x+1) ≥0.

Answer 1

Answer:

Step-by-step explanation:

(x^2 −x−2)/( x^2 −3x+1) ≥0

x^2 −x−2/ x^2 −3x+1  ≥0

x^2  -x -2: (x+1)(x-2)

x^2-3x+1 : $(x- \frac{3+\sqrt{5} }{2} )(x-\frac{3-\sqrt{5} }{2})$

(x+1)(x-2)/ $(x- \frac{3+\sqrt{5} }{2} )(x-\frac{3-\sqrt{5} }{2})$  ≥0

x ≤ -1 or  $\frac{3-\sqrt{5} }{2}$  < x  ≤ 2