How many solutions has the equation (x+3)^1/2=2 and calculate the solutions?
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hala718
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(x+3)^1/2 = 2
==> (x+3) =...
(The entire section contains 9 words.)
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neela | Student
To find the solutions of (x+3)^1/2 = 2.
squaring,
(x+3) =2^2 = 4 .
x = 4-3 = 1.
So x =1 .
There is one solution.
check Approved by eNotes Editorial
giorgiana1976 | Student
To eliminate the square root, we'll raise to square both sides of the equation:
[( x + 3)^(1/2)]^2 = 2^2
We'll eliminate the square root from the left side :
x+3 = 4
We'll add -3 both sides:
x = 1
We'll verify the solution into equation:
sqrt(1+3) = 2
sqrt4=2
2 = 2
The equation will have only one solution, x=1.check Approved by eNotes Editorial
Student Answers