To solve this equation, we first need to isolate the square root term on one side of the equation:
√3 - 4x = 2x
Add 4x to both sides:
√3 = 6x
Next, square both sides of the equation to eliminate the square root:
(√3)^2 = (6x)^2
3 = 36x^2
Now, divide by 36 to solve for x:
x^2 = 3/36x^2 = 1/12
Take the square root of both sides:
x = ±√(1/12) = ±√(1)/√(12) = ±1/(2√3) = ±√3/6
Therefore, the solutions to the equation are x = ±√3/6.
To solve this equation, we first need to isolate the square root term on one side of the equation:
√3 - 4x = 2x
Add 4x to both sides:
√3 = 6x
Next, square both sides of the equation to eliminate the square root:
(√3)^2 = (6x)^2
3 = 36x^2
Now, divide by 36 to solve for x:
x^2 = 3/36
x^2 = 1/12
Take the square root of both sides:
x = ±√(1/12) = ±√(1)/√(12) = ±1/(2√3) = ±√3/6
Therefore, the solutions to the equation are x = ±√3/6.