QQuestion
If the roots of a quadratic equation ax² + bx + c = 0 (a ≠ 0) are reciprocal and opposite in sign. Find (a + c)
✓Answer
Let the roots be α and –1/α.
Product of roots: r × (-1/r) = c/a
or, -1 = c/a
or, c = -a
or, a + c = 0
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