Question

Dgn melengkapkan kuadrat sempurna, tentukan akarakar x^2-2x-2=0

Answer 1

X^2 - 2x - 2 = 0
(x^2 - 2x + (-2/2)^2) - 2 - ( -2/2)^2 = 0
(x^2 - 2x + 1) - 2 - 1 = 0
(x - 1)^2 - 3 = 0
(x - 1)^2 = 3
x - 1 = +/- akar3
x = 1 +/- akar3

x1 = 1 + akar3
x2 = 1 - akar3