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Given the equation 2 Square root of x minus 5 = 2, solve for x and identify if it is an extraneous solution.

A.) x = 6, solution is not extraneous
B.) x = 6, solution is extraneous
C.) x = 11, solution is not extraneous
D.) x = 11, solution is extraneous

Respuesta :

metchelle
Given: 2√(x - 5) = 2

Taking the square of both sides:

 [2√(x - 5) = 2]^2

4(x - 5) = 4
x - 5 = 1
x = 6

Among the choices, the correct answer is A. x = 6, solution is not extraneous .

It is Given the equation 2√(x - 5) = 2. the correct answer is A. x = 6, the solution is not extraneous.

What is a simplification of an expression?

Usually, simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.

Simplification usually involves making the expression simple and easy to use later.

It is Given that

2√(x - 5) = 2

By taking the square of both sides:

[2√(x - 5) = 2]^2

we have,

4(x - 5) = 4

x - 5 = 1

x = 6

Therefore, the correct answer is A. x = 6, the solution is not extraneous.

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https://brainly.com/question/2253924

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