Question

Forme as equações do 2 grau cujas raízes são:

Answer 1

Olá!!

Resolução!!

a)

x' = - 5, x" = 6

( x - x' ) ( x - x" ) = 0
( x - ( - 5 )) ( x - 6 ) = 0
( x + 5 ) ( x - 6 ) = 0
x² - 6x + 5x - 30 = 0
x² - x - 30 = 0

b)

x' = 3, x" = 4

( x - x' ) ( x - x" ) = 0
( x - 3 ) ( x - 4 ) = 0
x² - 4x - 3x + 12 = 0
x² - 7x + 12 = 0

c)

x' = - 3, x" = - 2

( x - x' ) ( x - x" ) = 0
( x - ( - 3 )) ( x - ( - 2 )) = 0
( x + 3 ) ( x + 2 ) = 0
x² + 2x + 3x + 6 = 0
x² + 5x + 6 = 0

d)

x' = 4, x" = - 4

( x - x' ) ( x - x" ) = 0
( x - 4 ) ( x - ( - 4 )) = 0
( x - 4 ) ( x + 4 ) = 0
x² + 4x - 4x - 16 = 0
x² - 16 = 0

e)

x' = 1 + √3 e x" = 1 - √3

( x - x' ) ( x - x" ) = 0
( x - 1 + √3 ) ( x - 1 - √3 ) = 0
x² - 1 - √3x + ( - 1 + √3x ) + 1 - 3 = 0
x² - 1 - √3x - 1 + √3x + 1 - 3 = 0
x² - 3 = 0

Espero ter ajudado!!