Question
Solve the equation. (x^2+24x)^1/4=3 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is 4 square (Simplify your answer. Type an integer er or a fraction. Use a comma to separate answers as needed.) B. The solution set is the empty set.
Solution
4.5
(242 Votos)
Nelson
Profissional · Tutor por 6 anos
Resposta
To solve the equation
, we need to raise both sides of the equation to the power of 4 to eliminate the fourth root:
Now, we can solve the quadratic equation
by factoring:
Setting each factor equal to zero gives us the solutions:
or
or
Therefore, the solution set is
.So, the correct choice is A. The solution set is
.