If x² - 4x + 4 = 0, the nature of roots is?
- Complex
- Real and distinct
- Real and equal
- None of these
Explanation
For quadratic ax² + bx + c = 0, use discriminant D = b² - 4ac
Here x² - 4x + 4 = 0 → a=1, b=-4, c=4
D = (-4)² - 4(1)(4) = 16 - 16 = 0
Rule:
1. D > 0 → Real and distinct roots
2. D = 0 → Real and equal roots
3. D < 0 → Complex roots
Since D = 0, both roots are real and equal.
The equation is (x-2)² = 0, so root x = 2, 2.
Last verified on 08-06-2026
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