Solve the equation
-$x ^ { 2 / 3 } - 5 x ^ { 1 / 3 } + 6 = 0$
A) -27,-8
B) 2,3
C) 8,27
D) -3,-2

Name: Solve the equation -$x ^ { 2 / 3 } - 5 x ^ { 1 / 3 } + 6 = 0$ A) -27,-8 B) 2,3 C) 8,27 D) -3,-2
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Question

Solve the equation
-$x ^ { 2 / 3 } - 5 x ^ { 1 / 3 } + 6 = 0$
A)  -27,-8 
B) 2,3
C) 8,27
D)  -3,-2

Quizplus · Accepted Answer

Let $y = x^{1/3}$. Then the equation becomes $y^2 - 5y + 6 = 0$, which factors to $(y - 2)(y - 3) = 0$. Thus, $y = 2$ or $y = 3$. Substituting back, $x^{1/3} = 2$ gives $x = 8$, and $x^{1/3} = 3$ gives $x = 27$.

Solve the Equation - x2/3−5x1/3+6=0x ^ { 2 / 3 } - 5 x ^ { 1 / 3 } + 6 = 0x2/3−5x1/3+6=0

Solve the Equation
- $x ^ { 2 / 3 } - 5 x ^ { 1 / 3 } + 6 = 0$