Determine the value of x satisfying the equality | (x^ 2 +4 x+9 )+(2 x-3) |= |x^ 2 +4 x+9…

Mathematics · JEE Main · NTA ExamsSets, Relations and Functions

Determine the value of
\(\mathbf{x}\) satisfying the equality \(\left|\left(x^{2}+4 x+9\right)+(2 x-3)\right|=\left|x^{2}+4 x+9\right|+|2 x-3| .\)
  1. \(x \geq 3 / 2\)
  2. \(x \leq 3 / 2\)
  3. \(x=0\)
  4. none of these

Answer

(A) x 3 / 2

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