Question

Resolva em R as equações do 2° Grau:
x²-x-6=0

Answer 1

x² - x - 6 = 0

Δ = (-1)² - 4 .1.(-6) 
Δ = 1 + 24 
Δ = 25 

$x= \frac{-(-1)+- \sqrt{25} }{2.1} =x= \frac{1+-5}{2} \\ \\ x^{1}= \frac{1+5}{2}= x^{1}= \frac{6}{2} = x^{1}=3 \\ \\ x^{2}= \frac{1-5}{2}=x^{2}= \frac{-4}{2} =x^{2}=-2$

S{3,-2}

Answer 2

x² - x - 6 = 0

a = 1; b = -1; c = -6

Delta:
Δ = b² - 4ac
Δ = (-1)² - 4 * 1 * (-6)
Δ = 1 + 24
Δ = 25
      Bhaskara:
      x = - b ± √Δ / 2a
      x = - (-1) ± √25 / 2 * 1
      x = 1 ± 5 / 2
      x' = 1 + 5 / 2 = 6 / 2 = 3
      x'' = 1 - 5 / 2 = -4 / 2 = -2

S = {-2, 3}

Espero ter ajudado. Valeu!