[2240/(2х+32) +960/(2х+96) ] / 100 = 0,2588
2240/(2x+32) + 960 / (2x+96) = 0.2588*100
знаменатели≠0 :
2х +32≠0
х≠-32/2
х≠-16
2х+96≠0
х≠-96/2
х≠-48
[ (2*1120) / 2(x+16) ] + [(2*480)/ 2(x+48) ] = 25.88
1120/ (x+16) + 480/(x+48) = 25.88 | * (x+16)(x+48)
1120(x+48) + 480(x+16) = 25.88(x+16)(x+48) |:4
280(х+48) + 120(х+16) = 6,47(х²+48х+16х+768)
280x+120x +13440+1920= 6.47x² +414.08x +4968.96
400x +15360= 6.47x²+414.08x +4968.96
6.47x²+414.08x +4968.96 -400x -15360=0
6.47x² +14.08x -10391.04=0 |*100
647x² +1408x -1039104=0
D= 1408² -4*647*(-1039104) =1982464 + 2689201152=2 691 183 616
√D= 32√2628109
x₁= (-1408 -32√2628109) /(2*647) = (-704-16√268109)/647
x₂= ( -704+16√268109)/647