The sentence ``Spare the rod and spoil the child" is an example of a conditional statement. The phrase ``spare the rod" suggests that if the rod (a metaphor for discipline) is not used, the consequence will be that the child is spoiled (i.e., undisciplined).
- Option A: ``The child is spoiled if the rod is spared" expresses the condition but does not flow as smoothly as the original sentence in terms of structure.
- Option B: ``The child becomes spoiled when the rod is spared" is close but does not maintain the simplicity and directness of the original sentence. - Option C: ``The child is spoiled whenever the rod is spared" sounds somewhat formal and less straightforward than the original sentence.
- Option D: ``The child is spoiled when the rod is spared" is the most accurate transformation into a complex sentence while maintaining the meaning and simplicity of the original statement.
Thus, the correct answer is Option D.
If the roots of the quadratic equation \( ax^2 + bx + c = 0 \) are real and equal, then: