Roboguru
SD

Untuk x=1 dan x=−1 maka hasil dari x2−12​+x−11​−x+1x​=....

Pertanyaan

Untuk begin mathsize 14px style x not equal to 1 end style dan begin mathsize 14px style x not equal to negative 1 end style maka hasil dari

begin mathsize 14px style fraction numerator 2 over denominator x squared minus 1 end fraction plus fraction numerator 1 over denominator x minus 1 end fraction minus fraction numerator x over denominator x plus 1 end fraction equals.... end style 

P. Tessalonika

Master Teacher

Mahasiswa/Alumni Universitas Negeri Medan

Jawaban terverifikasi

Jawaban

hasil dari begin mathsize 12px style fraction numerator 2 over denominator x squared minus 1 end fraction plus fraction numerator 1 over denominator x minus 1 end fraction minus fraction numerator x over denominator x plus 1 end fraction equals negative fraction numerator open parentheses x minus 3 close parentheses over denominator open parentheses x minus 1 close parentheses end fraction end style.

Pembahasan

Untuk mencari hasil dari pecahan bentuk aljabar tersebut yaitu dengan menyamakan penyebutnya sebagai berikut.

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

Jadi, hasil dari begin mathsize 12px style fraction numerator 2 over denominator x squared minus 1 end fraction plus fraction numerator 1 over denominator x minus 1 end fraction minus fraction numerator x over denominator x plus 1 end fraction equals negative fraction numerator open parentheses x minus 3 close parentheses over denominator open parentheses x minus 1 close parentheses end fraction end style.

34

0.0 (0 rating)

Pertanyaan serupa

Jika x>y>0 dan yx​+xy​=6, maka x−yx+y​=....

33

0.0

Jawaban terverifikasi

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Roboguru

Coba GRATIS Aplikasi Ruangguru

Download di Google PlayDownload di AppstoreDownload di App Gallery

Produk Ruangguru

Produk Lainnya

Hubungi Kami

Ruangguru WhatsApp

081578200000

Email info@ruangguru.com

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

©2022 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia