Question

3 – Resolva as equações abaixo utilizando a fórmula de Bhaskara:

a) x² + 3x - 4 = 0

b) x² - 7x + 12 = 0 *

Answer 1

Resposta:

A) x'=1 x''= -4

B) x'=4 x''=3

Explicação passo-a-passo:

a) x² + 3x - 4 = 0

A=1 b=3 c= -4

Delta = (b)² - 4.(a).(c)

Delta = (3)² - 4.(1).(-4)

Delta = 9 +16

Delta = 25

X' = [ -(b) + raiz (delta)]/2.(a)

X' = [ -(3) + raiz (25)]/2.(1)

X'=[ - 3 + 5]/2 x' = 2/2 x'= 1

X" = [ -(3) - raiz (delta)]/2.(a)

X" = [ -(3) - raiz (25)]/2.(1)

X" = [ - 3 - 5]/2 x'' = -8/2 x''= -4

b) x² - 7x + 12 = 0

A=1 b= -7 c= 12

Delta = (-7)² - 4.(1).(12)

Delta = 49 - 48

Delta = 1

X' = [ -(b) + raiz (delta)]/2.(a)

X' = [ -( -7) + raiz (1)]/2.(1)

X'=[7+1]/2 x'=8/2 x'=4

X''= [ -(b) - raiz (delta)]/2.(a)

X"= [ -( -7) - raiz (1)]/2.(1)

X"=[7-1]/2 x''=6/2 x''=3