Given (x – 1)2 = 50, select the values of x. x = –49 x = 51 x=1+5squareroot2 x=1-5squareroot2

Paul Hatcher asked Aug 16, 2023

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Paul Hatcher asked Aug 16, 2023

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15 votes

Answer:

$\sf x = -1 + 5√(2) \ ; \ x = -1 - 5√(2)$

Explanation:

(x - 1)² = 50

Take square root both sides,

$\sf x + 1 = \± √(50)\\\\x + 1 = \± √(5*5*2)\\\\x + 1 = \± 5√(2)\\\\x = -1 \± 5√(2)$

$\sf x = -1 + 5√(2) \ ; \ x = -1 - 5√(2)$

Omarion answered Aug 20, 2023

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