Докажите, что корень уравнения:
1)15 3/8:(2 3/4х+ 5 5/6)-1 1/2=3/4 равен 4/11;
2) 3 1/3-(4 1/5х+х):5 4/7=8/15 равен 3.
1)15 3/8:(2 3/4х+ 5 5/6)-1 1/2=3/4 равен 4/11;
2) 3 1/3-(4 1/5х+х):5 4/7=8/15 равен 3.
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
Verified answer
1) 15 3/8 : (2 3/4х + 5 5/6) - 1 1/2 = 3/415 3/8 : (2 3/4х + 5 5/6) = 2 1/4
2 3/4х + 5 5/6 = 15 3/8 : 2 1/4
2 3/4х + 5 5/6 = 123/8 * 4/9
2 3/4х + 5 5/6 = 6 5/6
2 3/4х = 1
11/4х = 1
х = 4/11 => доказано
3 1/3 - (4 1/5х + х) : 5 4/7 = 8/15
3 1/3 - 5 1/5х = 8/15 * 39/7
3 1/3 - 5 1/5х = 8/5 * 13/7
26/5х = 3 1/3 - 2 34/35
26/5х = 3 35/105 - 2 102/105
26/5х = 350/105 - 312/105
26/5х = 38/105
х = 38/105 * 5/26
х = 19/21 * 1/13
х = 19/273
Может, ошибка в условии, но х не = 3.