Algebra 2 . solving equations containing two radicals

These are 3 questions and 3 answers.

Question 1.

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

Explanation:

1) Equation A

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

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.

cubing both sides once.

Explanation:

3) Question 3.

c - 2 = 25 + c + 10√c

Explanation:

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05