Find the solution of 4√x+2=-16, and determine if it is an extraneous solution.
x = 14; not extraneous
x = 2; extraneous
x = 2; not extraneous
x = 14; extraneous

Respuesta :

The value of x from the equation is 14 and it is extraneous since both sides of the equation is equal for the given solution

Solving rational expression

Given the rational expression below;

4√x+2=-16

Divide both sides by 4 to have:

4√x+2/4=-16/4

√x+2 = -4

Take the square of both sides

(√x+2)^2 = (-4)^2

x + 2 = 16

x = 16 - 2

x = 14

Hence the value of x from the equation is 14 and it is extraneous since both sides of the equation is equal for the given solution

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