Asked by Jake
Find the positive difference between two solutions to the equation
∛(4-(x^2/3)) = -2
∛(4-(x^2/3)) = -2
Answers
Answered by
Reiny
cube both sides
4 - x^(2/3) = -8
-x^(2/3) = -12
(x^2)^(1/3) = 12
x^2 = 1728
x = ± √1728 = ±24√3
so the difference between the two roots is 48√3
4 - x^(2/3) = -8
-x^(2/3) = -12
(x^2)^(1/3) = 12
x^2 = 1728
x = ± √1728 = ±24√3
so the difference between the two roots is 48√3
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