1. ((X+3)/(x-3)) + ((x-3)/(x+3)) = 10/3 2. ((X+1)/(x-1)) + ((x-1)/(x+1)) = 2.1/2
1. ((X+3)/(x-3)) + ((x-3)/(x+3)) = 10/3 2. ((X+1)/(x-1)) + ((x-1)/(x+1)) = 2.1/2
Гость
Ответ(ы) на вопрос:
Гость1. х+3/х-3=t ⇒t+1/t=10/3⇒t^2+1=10/3*t
3t^2-10t+3=0 D=100-36=64 √64=8
t1=1/6*(10+8)=3 t2=1/6*(10-8)=1/3
t=3 x+3/x-3=3 x+3=3x-9 2x=12 x=6
t=1/3 x+3=1/3*x-1 2/3x=-4 x=-4*3/2=-6
2. x+1/x-1=t t+1/t=5/2 t^2-5/2·t+1=0⇒2t^2-5t+2=0
D=25-4*2*2=9 √9=3
t1=1/4*(5+3)=2 t2=1/4*(5-3)=1/2
t=2 x+1/x-1=2 x+1=2x-2 x=3
t=1/2 x+1=0.5x-0.5 0.5x=-3/2 x=-3
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