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What are the solutions to the equation W/2W-3=4/W?

2 Answers

6 votes

Answer:

w=2 & w=6 (D on edge/e2020)

Explanation:

User Creimers
by
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3 votes
W/2W-3=4/W

To solve for W, we must isolate it on one side of the equation.

W = 4(2W-3)/W

Multiply both sides by W to get W out of the denomenator

W^2 = 4(2W-3)

Distribute the 4

W^2 = 8W - 12

Get all 3 terms on the same side and factor

W^2 - 8W + 12 = 0

(W-6)(W-2) = 0

Set equal to 0 and solve for W

W-6 = 0
W-2 = 0

W = 6 and W = 2
User Nash Worth
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