The equation (x - 1) (x + 2) + 2 = 0 has two real and distinct roots.
Simplifying the above equation,
⇒ x2 – x + 2x – 2 + 2 = 0
∴ x2 + x = 0
∴ D = b2 - 4ac
= 12 - 4(1)(0)
= 1 - 0 > 0
Hence, the roots are real and distinct.
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