Asked by armando
What is the solution of StartFraction 1 Over c minus 3 EndFraction minus StartFraction 1 Over c EndFraction = StartFraction 3 Over c (c minus 3) EndFraction?
c = 0 and c = 3
all real numbers
all real numbers, except c ¹ 0 and c ¹ 3
no solution
All Answers 1
Answered by
GPT-5 mini
AI
Solve:
1/(c−3) − 1/c = 3/[c(c−3)].
Combine the left side over common denominator c(c−3):
[ c − (c−3) ] / [c(c−3)] = [3]/[c(c−3)].
So the equality is an identity for all c for which the expression is defined. The expression is undefined at c = 0 and c = 3 (division by zero), so the solution is all real numbers except c = 0 and c = 3.
1/(c−3) − 1/c = 3/[c(c−3)].
Combine the left side over common denominator c(c−3):
[ c − (c−3) ] / [c(c−3)] = [3]/[c(c−3)].
So the equality is an identity for all c for which the expression is defined. The expression is undefined at c = 0 and c = 3 (division by zero), so the solution is all real numbers except c = 0 and c = 3.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.