[SQRT(x + 3)] = 2[SQRT(x)]
Try squaring both sides, then solve for x.
Cna you help me set it up please?
Square both sides and let me know what you get. The idea here is to teach you how to do it so you can do these by yourself.
Okay I get
x+3=4x
?
right. Now you just solve for x.
To solve the equation √(x + 3) = 2√x, we need to isolate the variable x. Here's how we can proceed:
Step 1: Square both sides of the equation to eliminate the square root symbols:
(√(x + 3))^2 = (2√x)^2
(x + 3) = 4x
Step 2: Simplify the equation:
x + 3 = 4x
Step 3: Move all terms involving x to one side of the equation:
x - 4x = -3
-3x = -3
Step 4: Divide both sides of the equation by -3 to solve for x:
x = -3/-3
x = 1
So, the solution to the equation √(x + 3) = 2√x is x = 1.