The roots of the equation ax(2)exponent) + bx + c = 0 will be reciprocal if: Choose one:
A) c = ab.  B) a = bc  C) c = b  D) c = a  E) a = b
Let k be one of the root of the given equation.   According to the problem,   1/k will be the other root of the given equation.   We know that, product of the roots of the equation = c/a.   Therefore, k × 1/k = c/a.   or, 1 = c/a.   or, a = c [multiplying a on both sides].   The roots of the equation ax2exponent + bx + c = 0 will be reciprocal if a = c.   Therefore, a = c or c = a.
<result>D</result>
The roots of the equation ax(2)exponent) + bx + c = 0 will be reciprocal if: