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Akar-akar persamaan kuadrat  adalah . Buatlah pers...

Akar-akar persamaan kuadrat x squared plus x plus 2 equals 0 adalah x subscript 1 space dan space x subscript 2. Buatlah persamaan kuadrat baru yang akar-akarnya x subscript 1 over x subscript 2 dan x subscript 2 over x subscript 1!

Jawaban:

Diketahui persamaan kuadrat x squared plus x plus 2 equals 0.

Dari persamaan kuadrat tersebut didapat x squared plus x plus 2 equals 0.

Jumlah dan hasil kali dari persamaan kuadrat mula:

table attributes columnalign right center left columnspacing 0px end attributes row cell x subscript 1 plus x subscript 2 end cell equals cell negative b over a equals negative 1 over 1 equals negative 1 end cell row cell x subscript 1 times x subscript 2 end cell equals cell c over a equals negative 2 over 1 equals 2 space end cell end table 

Akar-akar baru:

alpha equals x subscript 1 over x subscript 2 beta equals x subscript 2 over x subscript 1 

Jumlah dan hasil kali akar-akar dari persamaan kuadrat baru:

table attributes columnalign right center left columnspacing 0px end attributes row cell alpha plus beta end cell equals cell x subscript 1 over x subscript 2 plus x subscript 2 over x subscript 1 end cell row blank equals cell fraction numerator open parentheses x subscript 1 close parentheses squared plus open parentheses x subscript 2 close parentheses squared over denominator x subscript 1 times x subscript 2 end fraction end cell row blank equals cell fraction numerator open parentheses x subscript 1 plus x subscript 2 close parentheses squared minus 2 x subscript 1 times x subscript 2 over denominator x subscript 1 times x subscript 2 end fraction end cell row blank equals cell fraction numerator open parentheses negative 1 close parentheses squared minus 2 open parentheses 2 close parentheses over denominator 2 end fraction end cell row blank equals cell fraction numerator 1 minus 4 over denominator 2 end fraction end cell row blank equals cell negative 3 over 2 end cell end table 

table attributes columnalign right center left columnspacing 0px end attributes row cell alpha times beta end cell equals cell x subscript 1 over x subscript 2 times x subscript 2 over x subscript 1 end cell row blank equals cell fraction numerator x subscript 1 times x subscript 2 over denominator x subscript 1 times x subscript 2 end fraction end cell row blank equals cell 2 over 2 end cell row blank equals 1 end table 

Persamaan kuadrat baru.

table attributes columnalign right center left columnspacing 0px end attributes row cell x squared minus left parenthesis alpha plus beta right parenthesis x plus alpha times beta end cell equals 0 row cell x squared minus open parentheses negative 3 over 2 close parentheses x plus 1 end cell equals 0 row cell x squared plus 3 over 2 x plus 1 end cell equals 0 row cell 2 x squared plus 3 x plus 2 end cell equals 0 end table 

Jadi, persamaan kuadrat barunya adalah Error converting from MathML to accessible text..

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