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2 votes
X

x = 3 √(x - 4)

2 Answers

7 votes
Hello there!

Check the picture below for the answer. Let me know if you have more questions about the answer.


Thanks!

Good luck with your studies!
X x = 3 √(x - 4)-example-1
X x = 3 √(x - 4)-example-2
User Scottysmalls
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7.5k points
3 votes
x = 3sqrt(x-4) looks like the equation of two separate functions, x and sqrt(x-4). You don't share the instructions (!), but I suspect that they ask you to find the x-value a which this equation is true.

One way of doing this (just an estimation) would be to graph y = x and also y = 3sqrt(x-4). Doing so will tell you quickly whether or not the graphs intersect. If they do intersect, you'll need to identify approx. the x-value at which this happens; that will be your "solution." If they don't intersect, no solution.

Please ask follow-up questions if these suggestions are not clear and sufficient.

Question #1: Do y = x and y = 3sqrt(x-4) ever intersect?
User Peter Todd
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8.3k points