Question

x^(2/3)+x^(1/3)=2 ,solve for x
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Answer 1

Answer:

x=1

Step-by-step explanation:

x^(1/3)+x^(2/3)-2=0

t²+t-1=0

t=1

t=-2

x^(1/3)=1

x^(1/3)=-2

1^(1/3)+1^(2/3)=2 -----> 2=2

(-8)^(1/3)+(-8)^(2/3)=2 ----> undefined

so the equation has a single solution which is x=1