Question

(x -1 )^ 2/3 =125 .
find the value of x​

Answer 1

Answer:

here it is

x-1 =125^3/2

x=125+1

ok

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me

gys

Answer 2

Answer:

Step-by-step explanation:

$(x-1)^{\frac{2}{3}}=125\\=>\sqrt[3]{(x-1)^{2}} =125=5\times5\times5\\ \\ raising\;both\;sides\;to\;the\;power\;of3\\\\ (\sqrt[3]{(x-1)^{2}})^{3}=(5\times5\times5)^{3}\\ \\ (x-1)^{2}= 5\times5\times5\times5\times5\times5\times5\times5\times5\\ \\ \\ Now\;squaring\;both\;sides\;we\;get\\(x-1)=625\sqrt5\\=> x=625\sqrt5+1\approx1398.54248594$

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