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

( x − 2 ) 2 = 49 x 2 − 4 x + 4 − 49 = 0 x 2 − 4 x − 45 = 0 Δ = b 2 − 4 a c = ( − 4 ) 2 − 4 ∗ 1 ∗ ( − 45 ) = 16 + 180 = 196 x 1 ​ = 2 a − b − Δ ​ ​ = 2 4 − 196 ​ ​ = 2 4 − 14 ​ = 2 − 10 ​ = − 5 x 2 ​ = 2 a − b + Δ ​ ​ = 2 4 + 196 ​ ​ = 2 4 + 14 ​ = 2 18 ​ = 9 A n s w er : x = − 5 or x = 9

Answered by Lilith | 2024-06-10

(x-2)(x-2) x^2 -2x -2x +4 =49 (-49 from both sides) X^2-4x-45 (x+5)(x-9) x=-5, x=9

Answered by blakecfc | 2024-06-10

The solutions to the equation ( x − 2 ) 2 = 49 are x = 9 and x = − 5 . This is obtained by taking the square root of both sides and solving for x . Therefore, x could be either 9 or -5.
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Answered by Lilith | 2024-12-20