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

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

square root of 4x+1 +3=0

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Square both sides

Subtract 4 from both sides

Combine like terms on the right side

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Answer:
So our answer is

#2

Start with the given equation

Subtract 3 from both sides.

Square both sides

Subtract 1 from both sides

Combine like terms on the right side

Divide both sides by 4 to isolate x

Divide

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

Check:

Start with the given equation

Plug in x=2

Multiply

Add

Take the square root of 9 to get 3

Add. Since both sides of the equation are not equal, the possible solution x=2 is not valid

So the equation has no solutions
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