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Question
Determine the quadratic equation, whose sum and product of roots are `(-3)/2`, – 1
Solution
Sum of the roots = `(-3)/2`; Product of the roots = – 1
The Quadratic equation is
x2 – (sum of the roots)x + product of the roots = 0
`x^2 - ((-3)/2)x + (-1)` = 0
⇒ `x^2 + 3/2x - 1` = 0
2x2 + 3x – 2 = 0
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