X - 2 - ( x - 8 ) / ( x - 8)( x - 2) = x - 10 - ( x - 11) / ( x - 11)( x - 10)
x - 2 - x + 8 / ( x - 8)( x - 2) = x - 10 - x + 11 / ( x - 11)( x - 10)
6 / ( x - 8 )( x - 2) = 1 / ( x - 11)(x - 10)
6 × (x - 11)( x - 10) = 1 × ( x - 8 )( x - 2)
6 × ( x² - 10x - 11x + 110) = x² - 2x - 8x + 16
6 × ( x² - 21x + 110) = x² - 10x + 16
6x² - 126x + 660 - x² + 10x - 16 = 0
5x² - 116x + 644 = 0
D = b² - 4ac = ( - 116)² - 4 × 5 × 644 = 13456 - 20 × 644 = 13456 - 12880 = 576 = 24²
x₁ = 116 + 24 / 10 = 14
x₂ = 116 - 24 / 10 = 9,2
А)2x-4
2x=4
x=2
б)2-5x
-5x=-2
x=2/5
На 29 <span>процентов.................
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(25-x²)/(x+8)>0 ОДЗ: x+8≠≠0 х≠-8
(5-x)(5+x)/(x+8)>0
-∞_____+____-8_____-_____-5_____+____5_____-_____+∞
Ответ: х∈(-∞;-8)U(-5;5).
(9x²-4)/(6-x)>0 ОДЗ: 6-x≠0 x≠6
(3x-2)(3x+2)/(6-x)>0
-∞___+__-2/3____-____2/3_____+____6_____-____+∞
Ответ: х∈(-∞;-2/3)U(2/3;6).