The sum of the solution x ∈ ℝ of the equation 3 2x + ^32x ^6x - ^6x = x^3 - x^2 + 6 is

JEE Main 2024 Mathematics question

Not in JEE Main syllabus

The sum of the solution x ∈ ℝ of the equation is

Answer: (C)

cos⁶x − sin⁶x = cos2x(1 − sin²x cos²x) and 3cos2x + cos³2x = cos2x(3 + cos²2x). So the left side is (3 + cos²2x)/(1 − sin²x cos²x) =

Create a free account to read the complete working, and practise questions like this in a timed test.

Question ID VK-016809