47.5k views
1 vote
Ernesto solves the equation below by first squaring both sides of the

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

User DenverCR
by
7.5k points

1 Answer

0 votes

Final answer:

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.


Learn more about Extraneous solution

User East
by
9.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories