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  2. No real roots
    • According to 2 sources
    (x 2 + 1) 2 – x 2 = 0 has no real roots.
    Square root on both sides. We get, x2+1 =x or x2+1= −x ⇒ x2−x+1= 0 or x2+x+1=0 discriminant for the above equations will be; 1-4 = -3 <0 or 1-4=-3 <0 Hence, (x2+1)2−x2 = 0 has no real roots.
     
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