SOLUTION: Please explain how to solve 3√w+1=6.

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Question 189840This question is from textbook Elementary & Intermediate Algebra
: Please explain how to solve 3√w+1=6. This question is from textbook Elementary & Intermediate Algebra

Found 2 solutions by nerdybill, jim_thompson5910:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!

3sqrt%28w%2B1%29=6
Dividing both sides by 3:
sqrt%28w%2B1%29=2
Square both sides:
w%2B1=4
Subtract 1 from both sides:
w=3

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Is the equation 3%2Asqrt%28w%2B1%29=6 ???


3%2Asqrt%28w%2B1%29=6 Start with the given equation


sqrt%28w%2B1%29=6%2F3 Divide both sides by 3


sqrt%28w%2B1%29=2 Reduce


w%2B1=2%5E2 Square both sides


w%2B1=4 Square 2 to get 4


w=4-1 Subtract 1 from both sides


w=3 Combine like terms


So the solution is w=3



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OR...

Is the equation 3%2Asqrt%28w%29%2B1=6 ???


3%2Asqrt%28w%29%2B1=6 Start with the given equation


3%2Asqrt%28w%29=6-1 Subtract 1 from both sides


3%2Asqrt%28w%29=5 Combine like terms


sqrt%28w%29=5%2F3 Divide both sides by 3


w=%285%2F3%29%5E2 Square both sides


w=25%2F9 Square 5%2F3 to get 25%2F9


So the solution is w=25%2F9