The product of the roots of the equation 9 x 2 - 18 | x | + 5 = 0 is :

The product of the roots of the equation 9x2-18|x|+5=0 is :
  1. 59
  2. 2581
  3. 527
  4. 259

Solution

 ∵x2=|x|2 

9x2-18x+5=0

⇒(3x-1)(3x-5)=0

⇒|x|=13,53

∴x=13,-13,53,-53

product of roots =13-1353-53=2581

Asked in: JEE Main 2020 (05 Sep Shift 1)

Practice more Quadratic Equation questions on Aicharya