Question

The set of real values of x for which
10x² + 17x -34 / x² + 2x - 3 < 8, is '
(a) (- 5/2, 2) (b) (- 3, - 5/2)U(1,2)
(c) (- 3, 1) (d) none of these,​

Answer 1

Explanation:

First, simplify the equation so the absolute value is all that remains on the left side of the equation:

|2x – 25| = 10

Now create two equalities, one for 10 and one for –10.

2x – 25 = 10 and 2x – 25 = –10

2x = 35 and 2x = 15

x = 17.5 and x = 7.5

The two solutions are 7.5 and 17.5. 17.5 + 7.5 = 25

Answer 2

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