If \((x - 2)^2 = 49\), then x could be?

( x − 2 ) 2 = 49 ⟺ x − 2 = 49 ​ or x − 2 = − 49 ​ x − 2 = 7 or x − 2 = − 7 x = 7 + 2 or x = − 7 + 2 x = 9 or x = − 5 A n s w er : x ∈ { − 5 ; 9 }

Answered by Anonymous | 2024-06-10

(x - 2)² = 49 x² - 2x - 2x + 4 = 49 x² - 4x = 45 x² - 2x = 45 + (- 2)² x² - 2x = 45 + 4 (x - 2)² = 49 x - 2 = 7
x = 7 + 2, x = 9 x = - 7 + 2, x = - 5
Answer: 9 or the fifth choice. x is also - 5.

Answered by georgializxx | 2024-06-10

The solutions to the equation ( x − 2 ) 2 = 49 are x = 9 and x = − 5 . So, the answer set is x ∈ { − 5 , 9 } .
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Answered by Anonymous | 2024-12-23