Question

10 PONTOS!!   27)Determine as raízes de cada equação pelo método de fatoração ou pelo método de completar quadrados. 

a)x²+12x-12=1 

b)4x²-4x+1=4 
(USANDO A FÓRMULA DE BHASKARA)

Answer 1

$x^2+12x-12=1\\\\ x^2+12x-13=0\\\\ \Delta = b^2-4(a)(c)\\\\ \Delta = (12)^2-4(1)(-13)\\\\\ \Delta = 144+52\\\\ \Delta = 196$

$x = \frac{-b+\ ou-\ \sqrt{\Delta}}{2a}\\\\\ x = \frac{-12+\ ou-\ 14}{2}\\\\ x^1 = \frac{-12+14}{2} = \frac{2}{2} = 2\\\\ x^2 = \frac{-12-14}{2} = \frac{-26}{2} = -13\\\\\ \boxed{S(-13,2)}$

$4x^2-4x+1 = 4\\\\ 4x^2-4x-3=0\\\\ \Delta = 16+48\\\\ \Delta = 64$

$x = \frac{-b+\ ou-\ \sqrt{\Delta}}{2a}\\\\\ x = \frac{4+\ ou\ -\ 8}{8}\\\\\ x^1 = \frac{4+8}{2} = \frac{12}{2} = 6\\\\\ x^2 = \frac{4-8}{2} = \frac{-4}{2} = -2\\\\\ \boxed{S(-2,6)}$