Question

5. Quais são as raízes da equação
abaixo:
x2 - 7x + 10 = 0
(a) (-2,-3) (c) (1, 2)
(b) (2, 5)
(d) (-1,2)​

Answer 1

x²-7x+10=0

a = 1, b = -7, c = 10

∆ = b² - 4.a.c

∆ = (-7)² - 4.1.10

∆ = 49 - 40

∆ = 9

x = (- b ± √∆) / 2.a

x = (-(-7) ± √9) / 2.1

x = (7 ± 3) / 2

x' = (7 + 3) / 2

x' = 10 / 2

x' = 5

x''= (7 - 3) / 2

x'' = 4 / 2

x'' = 2

As raízes são 5 e 2.