TS EAMCET · Maths · Basic of Mathematics
Sum of all the roots of the equation \(||2 x-3|-4|=2\) is
- A 8
- B 0
- C 6
- D 9
Answer & Solution
Correct Answer
(C) 6
Step-by-step Solution
Detailed explanation
\(|2x-3|-4 = \pm 2\) \(|2x-3|=6\) or \(|2x-3|=2\) \(2x-3=\pm 6\) or \(2x-3=\pm 2\) \(2x = 3 \pm 6\) or \(2x = 3 \pm 2\) \(2x = 9, -3, 5, 1\) \(x = \frac{9}{2}, -\frac{3}{2}, \frac{5}{2}, \frac{1}{2}\) Sum…
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