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Pertanyaan

Persamaan x 2 − a x − ( a + 1 ) = 0 mempunyai akar-akar x 1 ​ > 1 d an x 2 ​ < 1 ketika a bernilai....

Persamaan mempunyai akar-akar ketika a bernilai....

  1. a not equal to 0

  2. a greater than 0

  3. negative 2 less than a less than 0

  4. a less than 0

  5. a greater than negative 2

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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

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Pembahasan

x squared minus a x minus open parentheses a plus 1 close parentheses equals 0 rightwards arrow open curly brackets table row cell x subscript 1 plus x subscript 2 equals a space space space space space space space space space end cell row cell x subscript 1 x subscript 2 equals negative open parentheses a plus 1 close parentheses end cell end table close A k a r minus a k a r space p e r s a m a a n space t e r s e b u t space h a r u s space m e m e n u h i space open curly brackets table row cell x subscript 1 greater or equal than 1 rightwards arrow x subscript 1 minus 1 greater than 0 end cell row cell x subscript 2 less than 1 rightwards arrow x subscript 2 minus 1 less than 0 end cell end table close M a k a space d i p e r o l e h colon open parentheses x subscript 1 minus 1 close parentheses open parentheses x subscript 2 minus 1 close parentheses less than 0 x subscript 1 x subscript 2 minus open parentheses x subscript 1 plus x subscript 2 close parentheses plus 1 less than 0 minus open parentheses a plus 1 close parentheses minus a plus 1 less than 0 minus 2 a plus 0 less than 0 minus 2 a less than 0 a greater than 0

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Persamaan kuadrat 2 x 2 − p x + 1 = 0 dengan p > 0, mempunyai akar-akar α d an β . Jika x 2 − 5 x + q = 0 mempunyai akar-akar α 2 1 ​ d an β 2 1 ​ maka nilai dari q - p adalah....

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