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AP EAMCET · Maths · Quadratic Equation

The number of real roots of the equation x1-x+1-xx=136 is

  1. A 1
  2. B 2
  3. C 3
  4. D 4
Verified Solution

Answer & Solution

Correct Answer

(B) 2

Step-by-step Solution

Detailed explanation

Given x1-x+1-xx=136 Let t=x1-x i.e. x1-x>0 & x≠0,1 i.e. x1-x>0⇒xx-1<0⇒x∈0,1 Now, t+1t=136⇒6t2-13t+6=0 ⇒t=13±169-14412=32, 23 i.e. when x1-x=32⇒x1-x=94 ⇒4x=9-9x⇒x=913 when…