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Jika , maka nilai  adalah ....

Jika begin mathsize 14px style fraction numerator a squared plus 6 a plus 9 over denominator a squared minus 9 end fraction equals 2 end style, maka nilai begin mathsize 14px style 1 third a end style adalah ....

Jawaban:

Dengan pemfaktoran aljabar, maka didapatkan:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator a squared plus 6 a plus 9 over denominator a squared minus 9 end fraction end cell equals 2 row cell fraction numerator open parentheses a plus 3 close parentheses open parentheses a plus 3 close parentheses over denominator open parentheses a plus 3 close parentheses open parentheses a minus 3 close parentheses end fraction end cell equals 2 row cell fraction numerator a plus 3 over denominator a minus 3 end fraction end cell equals 2 row cell a plus 3 end cell equals cell 2 a minus 6 end cell row cell a minus 2 a end cell equals cell negative 6 minus 3 end cell row cell negative 1 a end cell equals cell negative 9 end cell row a equals 9 row blank blank blank row cell 1 third a end cell equals cell 1 third open parentheses 9 close parentheses end cell row blank equals 3 end table end style

Jadi, nilai dari begin mathsize 14px style 1 third a end style adalah 3.

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