Question

Ernesto solves the equation below by first squaring both sides of the

equation.
1
w+8=-2
What extraneous solution does Ernesto obtain?

Answer 1

Ernesto obtains the extraneous solution w = -31.75.

Step-by-step explanation:

To solve the given equation, Ernesto squares both sides of the equation:

(1/(w+8))^2=(-2)^2

This simplifies to:

1/(w+8)^2 = 4

Next, cross multiply:

w+8 = 1/4

Subtracting 8 from both sides:

w = 1/4 - 8

The result is:

w = -31.75

Therefore, the extraneous solution obtained by Ernesto is w = -31.75.

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