How many solutions has the equation (x+3)^1/2=2 and calculate the solutions?

Expert Answers
hala718 eNotes educator| Certified Educator

(x+3)^1/2 = 2

==> (x+3) = 2^2

==> x+ 3 = 4

==> x= 1

To check:

(1+3)^1/2 = 2

4^1/2 =2

2=2

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 sideĀ :

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.
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.