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Supaya fungsi kuadrat f ( x ) = p x 2 − ( 2 p + 3 ) x + p + 6 selalu bernilai positif, maka nilai p adalah....

Supaya fungsi kuadrat selalu bernilai positif, maka nilai p adalah....

  1. p less than 0

  2. p greater than 3 over 4

  3. p greater than 3

  4. p greater than 4

  5. 0 less than p less than 3 over 4

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D. Kamilia

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Mahasiswa/Alumni Universitas Negeri Malang

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Pembahasan

S u a t u space p e r s a m a a n space k u a d r a t space a x squared plus b x plus c space a k a n space s e l a l u space b e r n i l a i space p o s i f i t space left parenthesis d e f i n i t space p o s i t i f right parenthesis space j i k a colon 1. space a greater than 0 rightwards double arrow p greater than 0 space d a n 2. space D less than 0 rightwards double arrow b squared minus 4 a c equals open parentheses 2 p plus 3 close parentheses squared minus 4 times p times open parentheses p plus 6 close parentheses less than 0 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space 4 p squared plus 12 p plus 9 minus open parentheses 4 p squared plus 24 p close parentheses less than 0 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space minus 16 p plus 9 less than 0 space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space 9 less than 16 p space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space 9 over 12 less than p space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space p greater than 3 over 4 J a d i space a g a r space p e r s a m a a n space t e r s e b u t space s e l a l u space b e r n i l a i space p o s i t i f comma space h a r u s l a h space p greater than 0 space d a n space p greater than 3 over 4 k a r e n a space “ d a n ” space b e r a r t i space i r i s a n comma space m a k a space j a w a b a n n y a space p greater than 3 over 4 space space left parenthesis B right parenthesis

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