Solve the radical equation. Be sure to check all solutions to eliminate extraneous solutions.
[tex]\sqrt{3x - 1} -2 = 0[/tex]
![Solve the radical equation Be sure to check all solutions to eliminate extraneous solutions texsqrt3x 1 2 0tex class=](https://us-static.z-dn.net/files/d0e/afb0bb4510d82e64dbfa5bb716618347.gif)
The solution of the radical equation is x = 5 / 3.
The radical equation can be solved by isolating x.
Therefore, the radical equation can be solved as follows:
√3x - 1 - 2 = 0
add 2 to both sides
√3x - 1 - 2 = 0
√3x - 1 - 2 + 2 = 0 + 2
√3x - 1 = 2
square both sides
√3x - 1 = 2
(√3x - 1 )² = 2²
Hence,
(√3x - 1 )² = 2²
3x - 1 = 4
Therefore, add 1 to both sides
3x - 1 = 4
3x - 1 + 1 = 4 + 1
3x = 5
divide both sides by 3
3x = 5
3x / 3 = 5 / 3
x = 5 / 3
Therefore, the solution of the radical equation is x = 5 / 3.
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