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a)
(5+2x)²=4·(x+1)²-3
25+20x+4x²=4(x²+2x+1)-3
25+20x+4x²=4x²+8x+4-3
20x-8x=1-25
12x=-24
x=-2
b)
3(x-1)²=3x²+2x-5
3(x²-2x+1)=3x²+2x-5
3x²-6x+3=3x²+2x-5
-8x=-8
x=1
c)
(2x-5)²=4(x-2)²+25
4x²-20x+25=4(x²-4x+4)+25
4x²-20x+25=4x²-16x+16+25
-4x=16
x=-4
d)
(2x-1)(2x+1)=4x²-2x+1
4x²-1=4x²-2x+1
2x=2
x=1
e)
(5-x)(5+x)-3x=2-x²+2
25-x²-3x=2-x²+2
-3x=-21
x=7
Zad.8
a)
b)
c)
0,2x-0,3>0,7
0,2x>1
x>5
d)
0,75-0,51x<0,92
-0,51x<0,17
x>0,(3)
e)
2x+3x-3<-3
5x<0
x<0
f)
6x-20-5x<11
x<31