Solve the equation
-$( x + 3 ) ^ { 3 / 2 } = 27$
A) x=14
B) x=9
C) x=6
D) x=12

Name: Solve the equation -$( x + 3 ) ^ { 3 / 2 } = 27$ A) x=14 B) x=9 C) x=6 D) x=12
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Question

Solve the equation
-$( x + 3 ) ^ { 3 / 2 } = 27$
A)  x=14 
B)  x=9 
C)  x=6 
D)  x=12

Quizplus · Accepted Answer

To solve the equation $(x + 3)^{3/2} = 27$, first recognize that $27 = 3^3$. Therefore, we can rewrite the equation as $(x + 3)^{3/2} = 3^3$. Taking both sides to the power of $2/3$ to cancel out the $3/2$ exponent, we get $x + 3 = 3^2 = 9$. Solving for $x$, we find $x = 9 - 3 = 6$.

Solve the Equation - (x+3)3/2=27( x + 3 ) ^ { 3 / 2 } = 27(x+3)3/2=27

Solve the Equation
- $( x + 3 ) ^ { 3 / 2 } = 27$