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Given (x-1)^2=50, select the values of x. -49, 51, 1+5 times sqrt(2), 1-5 times sqrt(2)

please help meee asap

1 Answer

6 votes

Answer:

x = 1 ± 5
√(2)

Explanation:

given

(x - 1)² = 50 ( take square root of both sides )


√((x-1)^2) = ±
√(50) , that is

x - 1 = ±
√(50) = ±
√(25(2)) = ± (
√(25) ×
√(2) ) = ± 5
√(2)

now add 1 to both sides

x = 1 ± 5
√(2)

solutions are x = 1 + 5
√(2) , x = 1 - 5
√(2)

User EmJ
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