Question

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Answer 1

x=2

Explanation:
Part 1:

`√(4x-3)=5`
First we can square both sides to remove the square root symbol:

`(√(4x-3))^(2) =(5)^(2)`

Simplify:

`4x-3=5`

Add 3 to both sides and simplify:

`4x=8`

Divide both sides by 4 and simplify to find x:

x=2

Part 2:

Extraneous solutions are values that we get when solving equations that aren't really solutions to the equation.

If we substitute 2 into the equation we get:

`√(4(2)-3) =5`

Simplify to get:

`√(8-3) =5`

`√(5) =5` WHICH IS INCORRECT

Therefore the solution is extraneous