Question

X+y=100


Xy=440

Isso e uma sistema me ajudem a fazer

Answer 1

Explicação passo-a-passo:

x+y = 100

xy = 440

y = 100 - x

x(100 - x) = 440

-x²+100x - 440 = 0

x² - 100x + 440 = 0

x² - 100x + 50² - 50² + 440

(x - 50)² = 2500 - 440

x - 50 = ±√2600

x = ±10√26 + 50

x' = 50-10√26 V x'' = 50+10√26

y = 100 - x

y' = 100-x' V y'' = 100-x''

y'=100-50+10√26 V y''=100-50-10√26

y'=50+10√26 V y''=50-10√26

Sol:{(50-10√26 ; 50+10√26) ; (50+10√26;50-10√26)}