Question

resolva as equações: A) (3X-9)²=36 B) (X+5)²=1 C) (X+5)²=-1

Answer 1

A.-)
(3x - 9)^2 =36
(3x)^2 - 2 (3x) (9)^2 + (9)^2 = 36
9x^2 - 54x + 81 = 36
9x^2 - 54x + 81 - 36 = 0
9x^2 - 54x + 45 = 0

B.-)
(x + 5)^2 = 1
(x)^2 + 2(x)(5) + (5)^2 = 1
x^2 + 10x + 25 = 1
x^2 + 10x + 24 = 0

C.-)
(x + 5)^2 = - 1
(x)^2 + 2(x)(5) + (5)^2 = - 1
x^2 + 10x + 25 = - 1
x^2 + 10x + 25 + 1 = 0
x^2 + 10x + 26 = 0