Question

Responda em R as seguintes equações: a)2.(x+3)^2-5.(x+3)+2=0 b)(x-1) (x+3)=5

Answer 1

Boa tarde Marcos

a)

2*(x + 3)² - 5*(x + 3) + 2 = 0

y = x + 3

2y² - 5y + 2 = 0

delta
d² = 25 - 16 = 9
d = 3

y1 = (5 + 3)/4 = 8/4 = 2
y2 = (5 - 3)/4 = 2/4 = 1/2

x1 = y1 - 3
x1 = 2 - 3 = -1

x2 = y2 - 3
x2 = 1/2 - 6/2 = -5/2

b)

(x - 1)*(x + 3) - 5 = 0
x² + 2x - 3 - 5 = 0
x² + 2x - 8 = 0

delta
d² = 4 + 32 = 36
d = 6

x1 = (-2 + 6)/2 = 4/2 = 2
x2 = (-2 - 6)/2 = -8/2 = -4