Ответ:
1) 4·x²-(2·x-1)²=15
4·x²-(4·x²-4·x+1)=15
4·x²-4·x²+4·x-1=15
4·x=15+1
x=16:4=4.
2) 9·x²-1=(3·x-2)²
9·x²-1=9·x²-12·x+4
9·x²-9·x²+12·x=4+1
12·x=5
x=5/12.
3) (3·x+1)²-(3·x-1)²=11·x+1,2
(3·x+1-3·x+1)·(3·x+1+3·x-1)=11·x+1,2
2·6·x=11·x+1,2
12·x-11·x=1,2
x=1,2.
4) (5+2·y)·(y-3)-2·(y-1)²=0
5·y-15+2·y²-6·y-2·(y²-2·y+1)=0
2·y²-y-15-2·y²+4·y-2=0
3·y=17
y=17/3.
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Verified answer
Ответ:
1) 4·x²-(2·x-1)²=15
4·x²-(4·x²-4·x+1)=15
4·x²-4·x²+4·x-1=15
4·x=15+1
x=16:4=4.
2) 9·x²-1=(3·x-2)²
9·x²-1=9·x²-12·x+4
9·x²-9·x²+12·x=4+1
12·x=5
x=5/12.
3) (3·x+1)²-(3·x-1)²=11·x+1,2
(3·x+1-3·x+1)·(3·x+1+3·x-1)=11·x+1,2
2·6·x=11·x+1,2
12·x-11·x=1,2
x=1,2.
4) (5+2·y)·(y-3)-2·(y-1)²=0
5·y-15+2·y²-6·y-2·(y²-2·y+1)=0
2·y²-y-15-2·y²+4·y-2=0
3·y=17
y=17/3.