Question

√x-2=√3x 6 Решите пожалуйста

Answer 1

ответ :

х = 20

Объяснение:

х - 2 = 3 • 6

х - 2 = 18

х = 18 + 2

х = 20

√20-2 = √3•6

3√2 = 3√2

х = 20

Answer 2

Solving the Equation √x-2=√3x+6

To solve the equation √x-2=√3x+6, we need to isolate the variable x. Here's how we can do it step by step:

Step 1: Square both sides of the equation to eliminate the square roots: (√x-2)^2 = (√3x+6)^2

Step 2: Simplify the equation: x - 4√x + 4 = 3x + 12√3x + 36

Step 3: Move all terms involving x to one side of the equation: x - 3x = 12√3x + 4√x + 36 - 4

Step 4: Combine like terms: -2x = 12√3x + 4√x + 32

Step 5: Move all terms involving square roots to one side of the equation: -2x - 12√3x - 4√x = 32

Step 6: Factor out the common factor of √x: -√x(2 + 12√3 - 4) = 32

Step 7: Simplify the equation: -√x(8 + 12√3) = 32

Step