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Question
Determine the quadratic equation, whose sum and product of roots are – (2 – a)2, (a + 5)2
Solution
Sum of the roots = – (2 – a)2; Product of the roots = (a + 5)2
x2 – (sum of the roots)x + product of the roots = 0
x2 – [–(2 – a)2]x + (a + 5)2 = 0
x2 + (2 – a)2x + (a + 5)2 = 0
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