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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=

Sagot :

The solution of the radical equation is x = 5 / 3.

How to solve radical equation?

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.

learn more on radical equation here: https://brainly.com/question/28442352

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