Question

a equaçao literal da icognita x: (m+1).x^2+(m^2+1).x -20=0 admite a raiz -5

Answer 1

( m + 1)x² + ( m² + 1)x - 20 = 0
x = - 5
( m + 1)(-5)²  + ( m² + 1)(-5)  - 20 = 0
25( m+1) - 5m² - 5  - 20 = 0
25m + 25 - 5m² - 25 = 0
25m - 5m² = 0
-5m²  + 25m = 0
5m² - 25m = 0
m² - 5m = 0
m ( m - 5 ) = 0
m = 0 ****
m - 5 = 0
m = 5 ***** resposta