5x² - x - 2 = 0 a = 5 b = -1 c = -2 tentukan 1/x¹ + 1/x² =

5x² – x – 2 = 0 a = 5 b = -1 c = -2 tentukan 1/x¹ + 1/x² =

Jawab:

$frac{1}{x_{1}}+frac{1}{x_{2}}=-frac{1}{2}$

Penjelasan dengan langkah-langkah:

$x_{1}+x_{2}=-frac{b}{a}=-frac{-1}{5}=frac{1}{5}\x_{1}x_{2}=frac{c}{a}=-frac{2}{5}\frac{1}{x_{1}}+frac{1}{x_{2}}=frac{x_{1}+x_{2}}{x_{1}x_{2}}=frac{frac{1}{5}}{-frac{2}{5}}=-frac{1}{2}$

Jawab:

Penjelasan dengan langkah-langkah:

5x² – x – 2 = 0

a = 5 b = -1 c = -2

x1 + x2 = -b/a = – (-1)/5 = 1/5

x1 . x2 = c/a = -2/5

tentukan 1/x1 + 1/x2 = x1 + x2 / x1 . x2

= (1/5) / -2/5

= 1/5 × 5/-2

= 1/-2

= -1/2

jadi, nilai dari 1/x1 + 1/x2 adalah -1/2

Semoga Bermanfaat