pathoscide
Answered

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solve 5(x-1)^1/3 = 20

Sagot :

mberisso

Answer:

x = 65

Step-by-step explanation:

To solve the equation, we write it in radical form:

[tex]5\, \sqrt[3]{x-1} = 20[/tex]

Then, we divide both sides by 5 to isolate the root:

[tex]\sqrt[3]{x-1} = \frac{20}{5} \\\sqrt[3]{x-1} =4[/tex]

and next, we raise both sides of the equation to the power 3 so as to free the expression in x from the root:

[tex]x-1=4^3\\x-1=64[/tex]

now we add 1 to both sides to isolate x:

x = 65

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