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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.

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

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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 .