Respuesta :

DespacitoMunche

Answer:8

Step-by-step explanation:

Move all terms not containing  x  to the right side of the equation.Raise each side of the equation to the  2 /3  power to eliminate the fractional exponent on the left side.

Solve the equation for  x .

mathstudent55

Answer:

[tex] x = 8 [/tex]

Step-by-step explanation:

[tex] (x + 1)^\frac{3}{2} - 2 = 25 [/tex]

[tex] (x + 1)^\frac{3}{2} = 27 [/tex]

[tex] \left((x + 1)^\frac{3}{2} \right)^\frac{2}{3} = 27^\frac{2}{3} [/tex]

[tex] x + 1 = 3^2 [/tex]

[tex] x + 1 = 9 [/tex]

[tex] x = 8 [/tex]

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