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2x-7+x+5=2*4
3x=8+2
3x=10
x=10/3
4.
x(x+3)=5²
x²+3x-25=0
Δ=9+4*25=109
x=1/2*(-3-√109) lub x=1/2*(-3+√109)
5.
sin²α+cos²α=1
(5/13)²+cos²α=1
cos²α=1-25/169=144/169
cosα=12/13
tgα=5/13:12/13=5/12
ctgα=12/5
tgα+2cosα=5/12+2*12/13=(5*13+24*12)/(12*13)=353/156
6.
y=1/2 x+b
1/2*(-4)+b=6
b=6+2=8
Odp. y=1/2 x + 8
b)
a1*a2=-1
2a=-1
a=-1/2
y=-1/2 x+b
-1/2*8+b=-10
b=-10+4=-6
Odp. y=-1/2 x - 6