...............................
25x²-1-25x²+100x-100-1=0
100x=102
x=1,02
152. 1) (5m-2n)/10k : (5m-2n)/10k^2 = (5m-2n)/10k * 10k^2/(5m-2n) = k
2) (p+3)/(p^2-2p) : (p+3)/(4p-8) = (p+3)/p(p-2) * (4(p-2))/p+3 = 4/p
3) (a^2-b^2)/2ab : (a+b)/ab = ((a-b)(a+b))/2ab * ab/(a+b) = (a-b)/2
4) 18b/(b^2-16) * (b+4)/3b = (6*3b)/(b-4)(b+4) * (b+4)/3b = 6/(b-4)
5) 6/(m^2-9n^2) * (m-3n) = 6/((m+3n)(m-3n)) * (m-3n) = 6/(m+3n)
6) (3c-9)/(9c^2+6c+1) * (3c+1)/(c-3) = (3(c-3))/(3c+1)^2 * (3c+1)/(c-3) = 3/(c+3)
5,6≤x≤11,2
|x-5|+|x-11,3|=x-5-x+11,3=6,3