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Nilai  yang memenuhi persamaan  adalah ...

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Nilai begin mathsize 14px style n end style yang memenuhi persamaan begin mathsize 14px style fraction numerator n factorial over denominator open parentheses n minus 3 close parentheses factorial end fraction equals 8 n minus 2 n squared end style adalah ...

 

Pembahasan Soal:

fraction numerator size 14px n size 14px factorial over denominator begin mathsize 14px style left parenthesis n minus 3 right parenthesis factorial end style end fraction size 14px equals size 14px 8 size 14px n size 14px minus size 14px 2 size 14px n to the power of size 14px 2 fraction numerator size 14px n size 14px left parenthesis size 14px n size 14px minus size 14px 1 size 14px right parenthesis size 14px left parenthesis size 14px n size 14px minus size 14px 2 size 14px right parenthesis up diagonal strike size 14px left parenthesis size 14px n size 14px minus size 14px 3 size 14px right parenthesis size 14px factorial end strike over denominator up diagonal strike size 14px left parenthesis size 14px n size 14px minus size 14px 3 size 14px right parenthesis size 14px factorial end strike end fraction size 14px equals size 14px 8 size 14px n size 14px minus size 14px 2 size 14px n to the power of size 14px 2 size 14px n to the power of size 14px 3 size 14px minus size 14px 3 size 14px n to the power of size 14px 2 size 14px plus size 14px 2 size 14px n size 14px equals size 14px 8 size 14px n size 14px minus size 14px 2 size 14px n to the power of size 14px 2 size 14px n to the power of size 14px 3 size 14px minus size 14px 3 size 14px n to the power of size 14px 2 size 14px plus size 14px 2 size 14px n size 14px plus size 14px 2 size 14px n to the power of size 14px 2 size 14px minus size 14px 8 size 14px n size 14px equals size 14px 0 size 14px n to the power of size 14px 3 size 14px minus size 14px n to the power of size 14px 2 size 14px minus size 14px 6 size 14px n size 14px equals size 14px 0 size 14px n size 14px left parenthesis size 14px n to the power of size 14px 2 size 14px minus size 14px n size 14px minus size 14px 6 size 14px right parenthesis size 14px equals size 14px 0 size 14px n size 14px left parenthesis size 14px n size 14px minus size 14px 3 size 14px right parenthesis size 14px left parenthesis size 14px n size 14px plus size 14px 2 size 14px right parenthesis size 14px equals size 14px 0 size 14px n size 14px equals size 14px 0 size 14px space size 14px atau size 14px space size 14px n size 14px equals size 14px 3 size 14px space size 14px atau size 14px space size 14px n size 14px equals size 14px minus size 14px 2 

Melalui proses substitusi begin mathsize 14px style n end style ke begin mathsize 14px style fraction numerator n factorial over denominator open parentheses n minus 3 close parentheses factorial end fraction equals 8 n minus 2 n squared end style, kita ambil nilai begin mathsize 14px style n end style yang memenuhi persamaan. Yang memenuhi adalah begin mathsize 14px style n equals 3 end style 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 05 Mei 2021

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