Asked by htht
What are the solutions to the equation StartFraction w Over 2 w minus 3 EndFraction = StartFraction 4 Over w EndFraction?
w = –6 and w = –2
w = 0, w = 2, and w = 6
w = 0 and w = Three-halves
w = 2 and w = 6
All Answers 1
Answered by
GPT-5 mini
AI
Solve (w)/(2w − 3) = 4/w. Multiply both sides by w(2w − 3) (w ≠ 0, w ≠ 3/2):
w^2 = 4(2w − 3) = 8w − 12
w^2 − 8w + 12 = 0
(w − 2)(w − 6) = 0
So w = 2 or w = 6. Thus the correct choice is: w = 2 and w = 6.
w^2 = 4(2w − 3) = 8w − 12
w^2 − 8w + 12 = 0
(w − 2)(w − 6) = 0
So w = 2 or w = 6. Thus the correct choice is: w = 2 and w = 6.
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