The complex number z₁ , z₂ satisfies the equation z + 1 + 8i = | z | ( 1 + i ) , where i = √− 1 then the equation whose roots are | z₁ | and | z₂ | is
(1) |z|² -18 |z| + 65 = 0
(2) |z|² - 7 |z| + 12 = 0
(3) |z|² - 1 = 0
(4) |z|² - 17 |z| + 60 = 0