Question

Mezii unui propozitii sunt invers proportional cu 0(8) si 0(6) iar produsul extremilor este 108 Afla mezii
DAU COROANA SI 30 DE PUNCTE​

Answer 1

$x \times 0.(8) = y \times 0.(6)$

$x \times \frac{8}{9} = y \times \frac{6}{9}$

$\frac{8x}{9} = \frac{6y}{9}$

$8x \times 9 = 6y \times 9$

/:18

$4x = 3y$

$x = \frac{3y}{4}$

$x \times y = 108$

$\frac{3y}{4} \times y = 108$

$3 \times {y}^{2} = 108 \times 4$

${y}^{2} = \frac{108 \times 4}{3} = 36 \times 4 = {6}^{2} \times {4}^{2}$

$y = \sqrt{ {6}^{2} \times {4}^{2} } = 6 \times 4 = 24$

$x = \frac{3 \times 24}{4} = 3 \times 6 = 18$