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Hello! I’d appreciate if you guys can help me with this. Thank you! :)

Hello! I’d appreciate if you guys can help me with this. Thank you! :)-example-1
User Lamas
by
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1 Answer

5 votes

Answer:

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

User Jamesmhaley
by
8.4k points

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