Q1 of 51 Page 38

State whether the following quadratic equations have two distinct real roots. Justify your answer.

3x2 – 4x + 1 = 0

The equation 3x2 – 4x + 1 = 0 has two real and distinct roots.


∴ D = b2 - 4ac


= (-4)2 - 4(3)(1)


= 16 – 12 > 0


Hence, the roots are real and distinct.


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