Question
Question: The product of real roots of the equation \| 2x + 3 \|<sup>2</sup> –3 \| 2x + 3\| + 2 = 0 is –...
The product of real roots of the equation | 2x + 3 |2 –3 | 2x + 3| + 2 = 0 is –
A
5/4
B
5/2
C
5
D
2
Answer
5/2
Explanation
Solution
Let |2x + 3| = t
∴ t2 – 3t + 2 = 0 ⇒ t = 1, 2
⇒ |2x + 3| =1,2
⇒ 2x + 3 = ± 1, ± 2
⇒ x = –1, –2, –1/2, – 5/2
Product of root's = (–1) (–2) (–1/2) (–5/2) = 5/2