Roboguru

Diketahui dan adalah akar-akar persamaan kuadrat berikut. Tentukan nilai , , , dan .

Pertanyaan

Diketahui begin mathsize 14px style alpha end style dan begin mathsize 14px style beta end style adalah akar-akar persamaan kuadrat berikut. Tentukan nilai begin mathsize 14px style alpha plus beta end style, begin mathsize 14px style alpha times beta end style, begin mathsize 14px style 1 over alpha plus 1 over beta end style, dan begin mathsize 14px style alpha squared plus beta squared end style.

  1. begin mathsize 14px style... end style

  2. undefined

Pembahasan Soal:

Persamaan kuadrat undefined

Diketahui: begin mathsize 14px style a equals 1 comma space b equals 1 comma space c equals negative 1 end style

Penyelesaian:

size 14px alpha size 14px plus size 14px beta size 14px equals fraction numerator size 14px minus size 14px b over denominator size 14px a end fraction size 14px equals fraction numerator size 14px minus size 14px 1 over denominator size 14px 1 end fraction size 14px equals size 14px minus size 14px 1 

size 14px alpha size 14px. size 14px beta size 14px equals size 14px c over size 14px a size 14px equals fraction numerator size 14px minus size 14px 1 over denominator size 14px 1 end fraction size 14px equals size 14px minus size 14px 1 

size 14px 1 over size 14px alpha size 14px plus size 14px 1 over size 14px beta size 14px equals fraction numerator size 14px beta size 14px plus size 14px alpha over denominator size 14px alpha size 14px. size 14px beta end fraction size 14px equals fraction numerator size 14px alpha size 14px plus size 14px beta over denominator size 14px alpha size 14px. size 14px beta end fraction size 14px equals fraction numerator negative 1 over denominator negative 1 end fraction size 14px equals size 14px 1 

size 14px alpha to the power of size 14px 2 size 14px plus size 14px beta to the power of size 14px 2 size 14px equals size 14px left parenthesis size 14px alpha size 14px plus size 14px beta size 14px right parenthesis to the power of size 14px 2 size 14px minus size 14px 2 size 14px left parenthesis size 14px alpha size 14px. size 14px beta size 14px right parenthesis size 14px equals size 14px left parenthesis size 14px minus size 14px 1 size 14px right parenthesis to the power of size 14px 2 size 14px minus size 14px 2 size 14px left parenthesis size 14px minus size 14px 1 size 14px right parenthesis size 14px equals size 14px 1 size 14px plus size 14px 2 size 14px equals size 14px 3 

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 03 Februari 2021

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