Solve each radical equation. Check your solutions. square root 5x-4=6
sqrt(5x - 4) = 6
First thing to do is to square both sides of the equation, then solve for x:
[sqrt(5x - 4)]^2 = 6^2
5x - 4 = 36
5x = 36 + 4
5x = 40
x = 8
Hope this helps~ :3
To solve the radical equation √(5x - 4) = 6, we need to isolate the variable x by getting rid of the square root. Here's how you can solve it step by step:
Step 1: Square both sides of the equation to eliminate the square root:
(√(5x - 4))^2 = 6^2
5x - 4 = 36
Step 2: Move the constant term (-4) to the other side of the equation:
5x = 36 + 4
5x = 40
Step 3: Divide both sides of the equation by the coefficient of x (5) to solve for x:
x = 40 / 5
x = 8
Step 4: Check the solution:
Plug the value of x back into the original equation and see if it holds true:
√(5x - 4) = 6
√(5*8 - 4) = 6
√(40 - 4) = 6
√36 = 6
6 = 6
The solution x = 8 satisfies the original equation, so it is the correct solution.
Therefore, the solution to the radical equation √(5x - 4) = 6 is x = 8.