5
QuizMultiple Choice

Solving Equations Containing Two Radicals — Quiz

Question 5 • Algebra II

What is the solution to the equation cube root of 5 x minus 4 is equal to cube root of 7 x plus 8 ?

Answer
A
x is equal to 2
B
x is equal to negative 6
C
x is equal to negative 1
D
x is equal to 1

Explanation

The cube root function gives equal outputs only when the numbers inside the roots are equal. Set the radicands equal: 5x − 4 = 7x + 8. Subtract 5x and 8 from both sides to get −12 = 2x, so x = −6; the correct choice is “x is equal to negative 6.”

AI-written and checked against the verified answer.

Previous
Next