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Question

The nature of roots of x1x1=x+42x+2 is/are ____.


  1. distinct and real

  2. equal and real

  3. one real and one imaginary

  4. imaginary


Solution

The correct option is A

distinct and real


Given, x1x1=x+42x+2

Simplifying
2x22=x2+3x4x23x+2=0 

Nature of roots depends on
D=b24acD=(3)24×1×2=98=1

D>0
Roots are distinct and real.

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