Pertanyaan

Tentukan jenis akar-akar persamaan kuadrat dari − x 2 + 2 x − 16 = 0

Tentukan jenis akar-akar persamaan kuadrat dari $- x^{2} + 2 x - 16 = 0$

F. Nur

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell x subscript 1 comma 2 end subscript end cell equals cell fraction numerator negative b plus-or-minus square root of b squared minus 4 a c end root over denominator 2 a end fraction end cell row blank equals cell fraction numerator negative 2 plus-or-minus square root of 2 squared minus 4 open parentheses negative 1 close parentheses open parentheses negative 16 close parentheses end root over denominator 2 open parentheses negative 1 close parentheses end fraction end cell row blank equals cell fraction numerator negative 2 plus-or-minus square root of negative 60 end root over denominator negative 2 end fraction end cell row blank equals cell fraction numerator negative 2 plus-or-minus square root of negative 1 end root square root of 60 over denominator negative 2 end fraction end cell row blank equals cell fraction numerator negative 2 plus-or-minus square root of 60 i over denominator negative 2 end fraction end cell row blank equals cell fraction numerator negative 2 plus-or-minus square root of 4 cross times 15 end root i over denominator negative 2 end fraction end cell row blank equals cell fraction numerator negative 2 plus-or-minus 2 square root of 15 i over denominator negative 2 end fraction end cell row blank equals cell 1 plus-or-minus square root of 15 i space end cell row cell x subscript 1 end cell equals cell 1 plus square root of 15 i space end cell row cell x subscript 2 end cell equals cell 1 minus square root of 15 i space end cell end table end style$