1.rozwiaz równanie skorzystaj ze wzorow skroconego mnozenia
a) 5(x-2) do kwadratu =x(5x+2)-2
b) (2+3x)do kwadratu= 9(x+1)do kwadratu +1
c) 3-(1-x)(1+x)=(x-1)do kwadratu +2
d) (x+2 ) do kwadratu -3(x-1)do kwaratu =2(1+x)(1-x)
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a)
5(x-2)^2= x(5x+2)-2
5(x^2-4x+4)=5x^2+2x-2
5x^2-20x+20=5x^2+2x-2
-22X=-22/(-22)
x= 1
b)
(2+3x)^2=9(x+1)^2+1
4+24x+9x^2=9(x^2+2x+1)+1
4+24x+9x^2=9x^2+18x+9+1
6x=6/6
x=1
c)
3-(1-x)(1+x)=(x-1)^2+2
3-(1^2-x^2)=x^2-2x+1+2
3-1+x^2=x^2-2x+3
2X=1/2
x=1/2
d)
(x+2 )^2-3(x-1)^2=2(1+x)(1-x)
x^2+4x+4-3(x^2-2x+1)=2(1^2-x^2)
x^2+4x-4-3x^2+6x-3=2-2x^2
10x=9/10
x=9/10