I don't understand how √ 4x=2x. Is this a mistake? I thought 4x can not be square root because the 4 has an x next to it.
Suppose x = 1?
What? Just think x as1 and square root 4x. Is that right?
If you meant (√4)(x) , then it is indeed 2x
if you meant √(4x) = 2x, then it is true only for x=0 and x=1, it is false for all other values of x
let's solve
√(4x) = 2x
square both sides:
4x = 4x^2
4x^2 - 4x = 0
4x(x - 1) = 0
so x = 0 or x = 1
The equation √(4x) = 2x can be simplified by squaring both sides of the equation. To demonstrate this, let's go step by step:
1. Start with the equation: √(4x) = 2x
2. Square both sides of the equation to eliminate the square root: (√(4x))^2 = (2x)^2
3. Simplify the left side of the equation by squaring the square root: 4x = (2x)^2
4. Simplify the right side of the equation by squaring 2x: 4x = 4x^2
5. Rearrange the equation to isolate the variables on one side: 4x^2 - 4x = 0
6. Factor out the common term: 4x(x - 1) = 0
Now we have two possibilities: either 4x = 0 or x - 1 = 0.
- If 4x = 0, then x = 0.
- If x - 1 = 0, then x = 1.
So, the values x = 0 and x = 1 are both solutions to the equation √(4x) = 2x.