(x2 + 1)2 - x2 = 0 has


Let’s simplify the equation,

(x2 + 1)2 - x2 = 0


x4 + 2x2 + 1 - x2 = 0


x4 + x2 + 1 = 0


Let x2 = y,


y2 + y + 1 = 0


D = b2 - 4ac = 0


= 12 - 4(1)(1)


D = -3 < 0


Hence, the equation (x2 + 1)2 - x2 = 0 has no real roots.

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