Question

Resolva as equações em R:
a) 3 x2 - 10 x + 3 = 0
b) 3x2 + 4x + 1 = 0​

Answer 1

Resposta:

a) 3x² - 10 x +3 =0         a= 3 ,   b= -10 ,   c= 3

   Δ= b² -4ac

   Δ = ( -10)² -4 .3 .3

   Δ= 100 -36

   Δ= 64

  x= -b +-√Δ/ 2a

  x = 10 +-√64/ 2.3

  x=  10 +- 8 /6

  x'= 10 +8/6=

  x'= 18 /6

  x'= 2

  x''= 10 -8 /6

   x''= 2/6

    x''= 1/3

S= { 2, 1/3 }

b) 3x² + 4x +1=0      a = 3 ,b = 4  ,c = 1

  Δ= b² -4ac

  Δ= ( 4 ) ² - 4.3.1

   Δ=16 -12

   Δ= 4

  x =  -b +- √Δ/2a

  x=   -4 +- √4 /2 .3

  x= -4 + - 2 /6

  x'= -4 + 2/6

  x'= -2/6

  x' = -1/3

  x''= -4 -2 /6

  x''= -6/6

  x''= -1

S={ -1/3 , -1}