1)
(у+6)(6-у)+у(у+9)=54
-у²+36+у²+9у=54
9у=54-36
9у=18
у=2
Проверка:
(2+6)(6-2)+2(2+9)=54
4+36+4+18=54
54=54
2)
(х+12)²-х²=336
(х²+2*х*12+12²)-х²=336
х²+24х+144-х²=336
24х=336-144
24х=192
х=192:24
х=8
(8+12)²-8²=336
8²+2*8*12+12²-8²=336
64+192+144-64=336
336=336
3)(16+2х)²-(5+2х)²=121
(16²+2*16*2х+2х²)-(5²+2*5*2х+2х²)=121
(256+64х+4х²)-(25+20+4х²)=121
256+64х+4х²-25-20-4х²=121
256+64х-25-20=121
64х=-256-25+20+121
64х=-140
х=8 400
9x-90=0
9x=90
x=10
1)
(у+6)(6-у)+у(у+9)=54
-у²+36+у²+9у=54
9у=54-36
9у=18
у=2
Проверка:
(2+6)(6-2)+2(2+9)=54
4+36+4+18=54
54=54
2)
(х+12)²-х²=336
(х²+2*х*12+12²)-х²=336
х²+24х+144-х²=336
24х=336-144
24х=192
х=192:24
х=8
Проверка:
(8+12)²-8²=336
8²+2*8*12+12²-8²=336
64+192+144-64=336
336=336
3)(16+2х)²-(5+2х)²=121
(16²+2*16*2х+2х²)-(5²+2*5*2х+2х²)=121
(256+64х+4х²)-(25+20+4х²)=121
256+64х+4х²-25-20-4х²=121
256+64х-25-20=121
64х=-256-25+20+121
64х=-140
х=8 400