Verified Solution • 2025–26 Session moderate

QJEEM25Madbbe: JEE Main 2025 Mathematics - Class 11 JEEM25Madbbe Solution: The number of solutions of the equation is :

The number of solutions of the equation

(9x−9x+2)(2x−7x+3)=0\left( \frac{9}{x} - \frac{9}{\sqrt{x}} + 2 \right) \left( \frac{2}{x} - \frac{7}{\sqrt{x}} + 3 \right) = 0 is :

Multiple Choice Options

  • A 3
  • B 2
  • C 1
  • D 4

Step-by-Step Verified Solution

Consider \frac{1}{\sqrt{\mathrm{x}}}=\alpha \quad \mathrm{x}>0

(9α2−9α+2)(2α2−7α+3)=0(3α−2)(3α−1)(α−3)(2α−1)=0α=13,12,23,3x=9,4,94,19

So, no. of solutions =4=4

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