Solve. sqrt of 2x+3=sqrtof 6x-1

1 answer

To solve this equation, we need to isolate x on one side of the equation. Here's how we can do it:

Given: sqrt(2x + 3) = sqrt(6x - 1)

Square both sides of the equation to get rid of the square roots:

2x + 3 = 6x - 1

Rearrange the equation by moving all x terms to one side of the equation:

2x - 6x = -1 - 3
-4x = -4

Divide by -4 on both sides to solve for x:

x = 1

Therefore, the solution to the equation sqrt(2x + 3) = sqrt(6x - 1) is x = 1.