SOLUTION: Solve each of the equations. square root of x+4 = 3 square root of 4x+1 +3=0

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Question 118072: Solve each of the equations.
square root of x+4 = 3

square root of 4x+1 +3=0

Answer by jim_thompson5910(21685) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%28x%2B4%29=3 Start with the given equation


x%2B4=9 Square both sides



x=9-4Subtract 4 from both sides


x=5 Combine like terms on the right side

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Answer:
So our answer is x=5



#2



sqrt%284x%2B1%29%2B3=0 Start with the given equation


sqrt%284x%2B1%29=-3 Subtract 3 from both sides.


4x%2B1=9 Square both sides



4x=9-1Subtract 1 from both sides


4x=8 Combine like terms on the right side


x=%288%29%2F%284%29 Divide both sides by 4 to isolate x



x=2 Divide

So a possible answer is x=2, but we must check our answer.


Check:


sqrt%284x%2B1%29%2B3=0 Start with the given equation



sqrt%284%282%29%2B1%29%2B3=0 Plug in x=2


sqrt%288%2B1%29%2B3=0 Multiply


sqrt%289%29%2B3=0 Add


3%2B3=0 Take the square root of 9 to get 3


6%3C%3E0 Add. Since both sides of the equation are not equal, the possible solution x=2 is not valid


So the equation has no solutions