29.6k views
4 votes
Algebra 2 help. Solving equations containing two radicals

Algebra 2 help. Solving equations containing two radicals-example-1
Algebra 2 help. Solving equations containing two radicals-example-1
Algebra 2 help. Solving equations containing two radicals-example-2
Algebra 2 help. Solving equations containing two radicals-example-3
User John Lewin
by
8.8k points

1 Answer

6 votes

These are 3 questions and 3 answers.

Question 1.

Answer: bot equations have the same potential solutions, but equation A may have extraneous solutions

Step-by-step explanation:

1) Equation A


image

Replace x = -4 in the right side of the equation:


√(x+2) =√(-4+2) =√(-2)

Which is not defined, so this is a extraneous solution.

2) Equation B.

Since it is a cube root, it is defined for any (negative, zero, and positive) values of x.

Question 2.

Answer: cubing both sides once.

Step-by-step explanation:


image

3) Question 3.

Answer: c - 2 = 25 + c + 10√c

Step-by-step explanation:


image

User Alinex
by
8.4k points

No related questions found