1.
(2х+9)² - х(4х+31) = 4х²+ 36х + 81 - 4х² - 31х = 5х + 81
при х= -16,2
5* (-16,2) + 81 = -81 + 81 = 0
2.
9х(х+6) - (3х+1)² = 1
9х²+54х - (9х²+6х+1) = 1
9х²+54х-9х²-6х-1=1
54х-6х=1+1
48х = 2
х= 2/48
х= 1/24
проверим
9*1/24 (1/24 +6) - (3*1/24 +1)² = 1
0,375 * (1/24 + 144/24) - (0,125+1)² = 1
0,375 * 145/24 - (1,125)² = 1
375/1000 * 145/24 - 1,265625 = 1
54375/24000 - 1,265625 = 1
2,265625 - 1,265625 = 1
1=1