Solve the equation
-$( x + 5 ) ^ { 2 / 5 } = 16$
A) x=-1019, x=1029
B) x=-1024, x=1024
C) x=-1029, x=1019
D) x=-9, x=9

Name: Solve the equation -$( x + 5 ) ^ { 2 / 5 } = 16$ A) x=-1019, x=1029 B) x=-1024, x=1024 C) x=-1029, x=1019 D) x=-9, x=9
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Question

Solve the equation
-$( x + 5 ) ^ { 2 / 5 } = 16$
A)  x=-1019, x=1029 
B)  x=-1024, x=1024 
C)  x=-1029, x=1019 
D)  x=-9, x=9

Quizplus · Accepted Answer

Raising both sides to the power of 5/2 gives $x + 5 = 16^{5/2}$. Calculating $16^{5/2}$ gives 1024, so $x + 5 = 1024$ or $x + 5 = -1024$. Solving these gives $x = 1019$ or $x = -1029$.

Solve the Equation - (x+5)2/5=16( x + 5 ) ^ { 2 / 5 } = 16(x+5)2/5=16

Solve the Equation
- $( x + 5 ) ^ { 2 / 5 } = 16$