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Question
State whether the following quadratic equation have two distinct real roots. Justify your answer.
2x2 + x – 1 = 0
Solution
The equation 2x2 + x – 1 = 0 has two real and distinct roots.
D = b2 – 4ac
= 12 – 4(2)(–1)
= 1 + 8 > 0
Hence, the roots are real and distinct.
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