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Salah satu penyelesaian dari 3 ( 2 + k ) x 2 + 4 x = 15 adalah 3. Maka nilai k adalah ....

Salah satu penyelesaian dari $\frac{( 2 + k )}{3} x^{2} + 4 x = 15$ adalah 3. Maka nilai k adalah ....

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M. Mariyam

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

Pembahasan

Subtitusikan sehingga

Subtitusikan $begin mathsize 14px style x equals space 3 k e space fraction numerator left parenthesis 2 plus k right parenthesis over denominator 3 end fraction x squared plus 4 x equals 15 end style$ sehingga

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator size 14px left parenthesis size 14px 2 size 14px plus size 14px k size 14px right parenthesis over denominator size 14px 3 end fraction size 14px x to the power of size 14px 2 size 14px plus size 14px 4 size 14px x end cell size 14px equals size 14px 15 row cell fraction numerator size 14px left parenthesis size 14px 2 size 14px plus size 14px k size 14px right parenthesis over denominator size 14px 3 end fraction size 14px left parenthesis size 14px 3 size 14px right parenthesis to the power of size 14px 2 size 14px plus size 14px 4 size 14px left parenthesis size 14px 3 size 14px right parenthesis end cell size 14px equals size 14px 15 row cell fraction numerator size 14px left parenthesis size 14px 2 size 14px plus size 14px k size 14px right parenthesis over denominator size 14px 3 end fraction size 14px left parenthesis size 14px 9 size 14px right parenthesis size 14px plus size 14px 12 end cell size 14px equals size 14px 15 row cell size 14px left parenthesis size 14px 2 size 14px plus size 14px k size 14px right parenthesis size 14px left parenthesis size 14px 3 size 14px right parenthesis end cell size 14px equals cell size 14px 15 size 14px minus size 14px 12 end cell row cell size 14px 6 size 14px plus size 14px 3 size 14px k end cell size 14px equals size 14px 3 row cell size 14px space size 14px 3 size 14px k end cell size 14px equals cell size 14px minus size 14px 3 end cell row cell size 14px space size 14px k end cell size 14px equals cell size 14px minus size 14px 1 end cell end table$