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Pertanyaan

Jika salah satu akar persamaan a x squared space plus space 5 x space minus space 12 space equals space 0 adalah 2, maka nilai a dan akar yang lain adalah ....

  1. 1 half space d a n space 12

  2. 1 fourth space d a n space 12

  3. 1 half space d a n space minus 12

  4. 2 over 3 space d a n space 10

  5. 1 third space d a n space minus 12

R. RGFLSATU

Master Teacher

Jawaban terverifikasi

Pembahasan

Jika akar-akar persamaan a x squared space plus space 5 x space minus space 12 space equals space 0 adalah x subscript 1 dan x subscript 2

x subscript 1 equals 2 rightwards arrow a left parenthesis 2 right parenthesis squared plus 5 left parenthesis 2 right parenthesis minus 12 equals 0  space space space space space space space space space space space space space space space space space space space space space space 4 a plus 10 minus 12 equals 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 4 a equals 2 rightwards arrow a equals 1 half  P e r s a m a a n space k u a d r a t space rightwards arrow x squared plus space 5 x minus 12 equals 0 space rightwards arrow a equals 1 half comma  b equals 5 comma space c equals negative 12  x subscript 1 plus x subscript 2 equals fraction numerator negative b over denominator a end fraction equals fraction numerator negative 5 over denominator begin display style 1 half end style end fraction equals negative 10  x subscript 1 plus x subscript 2 equals negative 10  x subscript 2 equals negative 10 minus x subscript 1  x subscript 2 equals negative 10 minus 2 equals negative 12  J a d i space n i l a space a equals space d a n space a k a r space y a n g space l a i n equals space minus 12

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