- #1
frozen7
- 163
- 0
3(x)^1/2 = (x)^1/2
How come there are two answers for this equation?? 0 and 1/3
How come there are two answers for this equation?? 0 and 1/3
Erm:frozen7 said:3(x)^1/2 = (x)^1/2
How come there are two answers for this equation?? 0 and 1/3
Phoenix314 said:You should first square each side to get rid of the square root, giving you:
9x = x
And x = 0 should be your only answer
The equation 3(x)^1/2 = (x)^1/2 means that the square root of 3 times x is equal to the square root of x. In other words, the solution to this equation is a number that, when squared, is equal to both 3 times x and x.
To solve this equation, you can start by isolating the square root terms on one side of the equation. In this case, you can subtract (x)^1/2 from both sides to get 2(x)^1/2 = 0. Then, you can square both sides to eliminate the square root and solve for x. The solution is x = 0.
If you are unable to square both sides of the equation, you can try isolating the square root terms by dividing both sides by the coefficient in front of the square root. In this case, you can divide both sides by 3 and get (x)^1/2 = (x)^1/2. This equation is true for all values of x, so the solution is any real number.
Yes, this equation can have more than one solution. In fact, in this case, the equation has infinitely many solutions. This is because any real number can be squared to equal itself, so any value of x will satisfy the equation.
You can check your solution by plugging it back into the original equation and seeing if it holds true. In this case, you can check by plugging in x = 0 and seeing if 3(0)^1/2 = (0)^1/2. Since both sides equal 0, the solution is correct.