1)3/2x+1/x =
приводим к общему знаменателю 2х
3/2х + 2/2х =
складываем числитель
5 / 2х =
сокращаем
<span>2,5 / х
2)</span>3а (а+2) - (а+3)^2 =
3а^2 + 6а - (а^2 + 6а + 9) =
3а^2 + 6а - а^2 - 6а - 9 =
2а^2 - 9
при а = -5 получим
2(-5)^2 - 9 = 2*25 - 9 =
<span>50 - 9 = 41</span>
25t = x( t - 1 )
x = 25t / ( t - 1 ) ; t ≠ 1
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25( t + ( 1/6 )) = 3/4x( t + ( 1/6 ) - 1 )
25( ( 6t + 1 ) / 6 ) = 3/4x( ( 6t - 5 ) / 6 )
( 100( 6t + 1 )) / 24 = ( 3x( 6t - 5 ) ) / 24
100( 6t + 1 ) = 3x( 6t - 5 )
100( 6t + 1 ) = ( 75t / ( t - 1 )) * ( 6t - 5 )
100( 6t + 1 ) = ( 75t( 6t - 5 )) / ( t - 1 )
600t + 100 = ( 450t^2 - 375t ) / ( t - 1 )
450t^2 - 375t = ( t - 1 )( 600t + 100 )
450t^2 - 375t = 600t^2 + 100t - 600t - 100
450t^2 - 375t = 600t^2 - 500t - 100
150t^2 - 125t - 100 = 0
1,5t^2 - 1,25t - 1 = 0
D = 1,5625 + 6 = 7,5625 = 2,75^2
t1 = ( 1,25 + 2,75 ) : 3 = 4/3 = 1 1/3
t2 = ( 1,25 - 2,75 ) : 3 = - 1,5 : 3 = - 0,5
x = 25t / ( t - 1 )
x1 = (25*(4/3)) / ( 1 1/3 - 1 ) = 100/3 *1/3 = 100/9 = 11 1/9
x2 = ( 25*(- 0,5 )) / ( - 0,5 - 1 ) = ( - 12,5 )*( - 1,5 ) = 18,75