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Question
State whether the following quadratic equation have two distinct real roots. Justify your answer.
`2x^2 - 6x + 9/2 = 0`
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Solution
The equation `2x^2 - 6x + 9/2` = 0 has real and equal roots.
D = b2 – 4ac
= `(-6)^2 - 4(2)(9/2)`
= 36 – 36
= 0
Hence, the roots are real and equal.
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