Question

Determine the quadratic equation, whose sum and product of roots are – (2 – a)², (a + 5)²

Answer 1

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