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Owtside
@Owtside
January 2020
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A soma das raízes que satisfazem a equação modular?
||x-2|-7|=6
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hcsmalves
Verified answer
||x - 2| - 7| = 6
|x - 2 | - 7 = -6 (I) ou |x - 2| - 7 = 6 (II)
Resolvendo (I)
|x - 2| = 7 - 7 => |x- 2 | = 1 => x - 2 = -1 => x = 2 - 1 =>
x = 1
ou
x - 2 = 1 => x = 2 + 1 =>
x = 3
Resolvendo (II)
|x - 2| - 7 = 6 => |x - 2| = 13 => x - 2 = - 13 =>
x = -11
ou
x - 2 = 13 =>
x = 15
S = {-11, 1, 3, 15}
7 votes
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Verified answer
||x - 2| - 7| = 6|x - 2 | - 7 = -6 (I) ou |x - 2| - 7 = 6 (II)
Resolvendo (I)
|x - 2| = 7 - 7 => |x- 2 | = 1 => x - 2 = -1 => x = 2 - 1 => x = 1 ou
x - 2 = 1 => x = 2 + 1 => x = 3
Resolvendo (II)
|x - 2| - 7 = 6 => |x - 2| = 13 => x - 2 = - 13 => x = -11 ou
x - 2 = 13 => x = 15
S = {-11, 1, 3, 15}