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Question
State whether the following quadratic equation have two distinct real roots. Justify your answer.
3x2 – 4x + 1 = 0
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Solution
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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