Multiple choice

Number of imaginar roots of equation $(2x-3)^{4}=81$ are

  1. $0$
  2. $1$
  3. $2$
  4. $4$
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A Correct answer
AI explanation

Taking the fourth root of both sides of the equation gives 2x - 3 = 3 or 2x - 3 = -3. Solving the first equation results in x = 3, while solving the second equation results in x = 0. Since both roots are real, the number of imaginary roots is 0.