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2 years ago

Please help! Help Will Give 100 PTS

Mathematics

1 answer:

allochka39001 [22]2 years ago

7 0

Answer:

x = 23; not extraneous

Step-by-step explanation:

A solution is extraneous if it does not satisfy the original equation. Extraneous solutions can sometimes be introduced in the process of solving radical and rational function equations.

<h3>Solution</h3>

Squaring both sides of the given equation, we get ...

√(3x +12) = 9

3x +12 = 81 . . . . . . square both sides

x +4 = 27 . . . . . . . divide by 3

x = 23 . . . . . . . . . . subtract 4

<h3>Check</h3>

There is only one solution, and it satisfies the equation:

√(3×23 +12) = √81 = 9

The solution x = 23 is not extraneous.

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