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Jose38
@Jose38
December 2019
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Resolva a equação e de a resposta a forma + bi
2x²= x -4. Segue o anexo
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decioignacio
2x² = x - 4
2x² - x + 4 = 0
x = _1+-√[(-1)²- 4(2)(4)]_
2(2)
x = _1 +-√(1-32)_
4
x = _1+-√-31_
4
x' = _1 + √31(√-1_ ⇒ x' = _1_ + _√31_i
4 4 4
x'' = _1 - √31√-1_ ⇒ x'' = _1_ - _√31_i
4 4 4
Resposta: alternativa e)
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Lista de comentários
2x² - x + 4 = 0
x = _1+-√[(-1)²- 4(2)(4)]_
2(2)
x = _1 +-√(1-32)_
4
x = _1+-√-31_
4
x' = _1 + √31(√-1_ ⇒ x' = _1_ + _√31_i
4 4 4
x'' = _1 - √31√-1_ ⇒ x'' = _1_ - _√31_i
4 4 4
Resposta: alternativa e)