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23
x-cena butów
0,9*0,9x=162
0,81x=162
x=200zł
24
D=R\{-2;2}
(2x+3+4(x+2))/(x²-4)=(2x+3+4x+8)/(x²-4)=(6x+11)/(x²-4)
25
f(x)=ax+b
f(2n+1)+f(2n-1)=2f(2n)
a(2n+1)+b+a(2n-1)+b=2an+a+b+2an-a+b=4an+2b=2(2an+b)=2f(2n)
26
(9+2x)*2=7+x+11+3x
18+4x=4x+18
tożsamośc, czyli dla dowolnego x
27
Spr. czy:
sin²α+cos²α=1
(√5-1/2)²+(√ √5-1/2)²=1
(5-2√5+1)/4+(√5-1)/2=1
(5-2√5+1)/4+(2√5-2)/4=1
(6-2√5+2√5-2)/4=1
(6-2)/4=1
4/4=1
istnieje alfa
28
a√2-a=2
a=2/(√2-1)=2(√2+1)/(√2-1)(√2+1)=2(√2+1)
starczy, nie?