Question

qual o produto das raízes dessa equação?? :((
x² - 901x + 900 = 0
300 mil
800 mil
900 mil
1000 mil

Answer 1

Resposta:

$x= \frac{-b±\sqrt{b}^{2}-4ac }{2a} \\x² - 901x + 900 = 0\\a=1\\b= -901\\c=900\\\\x = \frac{-(-901)±\sqrt{(-901)}^{2} -4 . 1 . 900 }{2 . 1} \\\\x = \frac{901±\sqrt{(-901)}^{2} -4 . 1 . 900 }{2 . 1}\\\\x = \frac{901±\sqrt{811801}-4 . 1 . 900 }{2 .1} \\\\x= \frac{901±\sqrt{811801}-3600 }{2 .1}\\\\x= \frac{901±\sqrt{808201} }{2 . 1} \\\\x = \frac{901±899}{2 . 1} \\\\x= \frac{901±899}{2} \\\\x= \frac{901+899}{2}\\\\x= \frac{901-899}{2}\\\\x = 900\\ou\\x= 1\\\\900 mil$

Explicação passo-a-passo: