Question

5. Calcule a soma e produto das raízes.
a. x^2 − 5x + 6 = 0

b. ax^2 − 2ax + 1 = 0

c. 5x^2 − 8x + 4 = 0

d. x^2 − x/10 - 1/5 = 0

Answer 1

a. x^2 − 5x + 6 = 0. => a=1, b=-5, c=6

s= -b/a = 5/1 = 5

p= c/a = 6/1 = 6

b. ax^2 − 2ax + 1 = 0

s= -b/a = 2a/a = 2

p= c/a = 1/a

c. 5x^2 − 8x + 4 = 0

s= -b/a = 8/5

p= c/a = 4/5

d. x^2 − x/10 - 1/5 = 0

s= -b/a = 1/10 / 1 = 1/10

p= c/a = -15/1 = -15