1) у = 2х + 3 и у = 34/(х - 5)
2х + 3 = 34/(х - 5)
(х - 5)(2х + 3) = 34
2х² + 3х - 10х - 15 - 34 = 0
2х² - 7х - 49 = 0
х₁ = 7 х₂ = - 3,5
у(7) = 2*7 +3 = 17
у(-3,5) = -3,5*2 + 3 = -4
А ( 7; 17 ) и В(-3,5; - 4 )
2) у = (х² - 5х)/(х + 3) и у = 2х - 35
(х² - 5х)/(х + 3) = 2х - 35
х² - 5х = (2х -35)(х + 3)
х² - 5х = 2х² - 29х - 105
х² - 5х - 2х² + 29х + 105 = 0
-х² + 24х + 105 = 0
х² - 24х - 105 = 0
х₁ ₂ = 12 ± √249
у( 12 + √249) = 2( 12 + √249) - 35 = 24 + 2√249 - 35 = 2√249 - 11
у( 12 - √249) = 2( 12 - √249) - 35 = -24 - 2√249 - 35 = - 2√249 - 59
А ( 12 + √249; 2√249 - 11) и В ( 12 - √249; - 2√249 - 59)