Slove x23x136D The solution set is Solutionx23 x13 6 0 Let

Slove x^2/3-x^1/3-6=D The solution set is

Solution

x^(2/3) - x^1/3 - 6 =0

Let x^1/3 = y

So,, x^2/3 = (x^1/3)^2 = y^2

So, y^2 - y -6 =0

y^2 -3y +2y -6 =0

y( y-3) +2( y-3) =0

(y +2)( y-3) =0

y =-2 ; y =3

Now x^1/3 = -2 ----> x= (-2)^3

x= -8

y=3

Now x^1/3 = 3 ----> x= 3^3 = 27

x = 27

Solution set : x= -8 , 27

 Slove x^2/3-x^1/3-6=D The solution set is Solutionx^(2/3) - x^1/3 - 6 =0 Let x^1/3 = y So,, x^2/3 = (x^1/3)^2 = y^2 So, y^2 - y -6 =0 y^2 -3y +2y -6 =0 y( y-3)

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